t y = v yi t +1 2 gt 2 Note: These equations are really just d = vt and x = v x v y = vsin! = vcos! v x v 2 = v x 2 + v y


 Dorothy Potter
 8 months ago
 Views:
Transcription
1 Chapter 3: Vectors & Projectile Motion NAME: Text: Chapter 3 Think and Explain: 1, 2, 610 Think and Solve: 1a, 26 Vocabulary: vector, scalar, resultant vector, component vector, projectile, horizontal component of velocity, vertical component of velocity, range, satellite Equations: x = v x t y = v yi t +1 2 gt 2 Note: These equations are really just d = vt and v y = gt + v yi d i + 2 = v t 1 2 at! v 2 = v x 2 + v y 2 v x = vcos! v y = vsin! Constants: g = ±10 m/s 2 Key Objectives: Concepts! Distinguish between a vector quantity and a scalar quantity.! Distinguish between a component vector and a resultant vector.! Identify the initial horizontal and vertical components of velocity for a projectile launched horizontally.! State which velocity component changes over time and which component of velocity remains the same.! Identify the velocity and acceleration at the highest point for a projectile launched at an angle on a level surface.! Recognize and be able to sketch the motion graphs for a projectile. (x vs. t, y vs. t, v x vs. t, v y vs.t)! State the launch angle that will yield maximum range.! State the relationship between launch angles that will yield the same range.! Given the paths of three projectiles, be able to describe the motion qualitatively and determine which projectile has the greatest time in air, horizontal velocity, initial vertical velocity, etc.! Relate the motion of a satellite to the motion of a projectile. Problem Solving! Add vectors graphically using the tip to tail method.! Find the magnitude of a resultant vector using the Pythagorean Theorem when given two component vectors at right angles to one another.! Find the components of a vector given its magnitude and direction (angle.)! Solve vector word problems. (River problems, airplane/wind speed problems.)! Set up table and fill in given information for a horizontal projectile problem and solve for missing values.! Set up table and fill in given information for a projectile launched at an angle problem and solve for missing values.! Find the final velocity of a projectile when it hits the ground
2 CP Physics Chapter 3 Vectors and Projectile Motion Date Class Reading Homework Lab 30: Where s the X? Vector Concepts (Graphical) Finish Worksheet Right Triangle Trig Review Finish Worksheet Vector Concepts (Trig) Vector Word Problems Horizontal Projectile (Cliff 34 Cliff Problems WS Problems) Notes and Examples Vector Quiz (30 points) RQ 811 More Cliff Problems Finish WS Lab 31: Projectile Challenge Lab Lab 32: Projectile Motion Finish Lab Projectile Motion Concept 35 Sheet Projectile Motion Concept Sheet (cont.) Lab 33: Range Lab Projectile Motion Problems Finish WS WS Review Projectile Motion Exam
3 Lab 30: Where is the X? NAME: Purpose: To give someone a set of directions that you and your group have carefully measured, and see if another group can follow those directions and end up at the same place as you did. Procedure: l. You will be divided into groups for this lab. Each group will get 5 (five) 3x5 cards, a meter stick for measuring distance, a protractor for measuring angles, five plain pennies and one penny with an X marked on it. 2. Your teacher will tell you which way is north. Take a minute and figure the other points of the compass. 3 At your table find the piece of masking tape, this is your starting point. Mark each card with your lab group number. 4. Move out from the starting point and note on the first blank card how far and in what direction you moved. For example,.6 m SW. (This is you first Move. ) DO NOT NUMBER YOUR MOVES. 5. Decide upon your next move, example.45m N from that point. Do it and put the distance/direction on the next card. Continue doing this until a total of 5 cards have been completed each with its individual distance/direction noted. None of your moves may take you off the table. The maximum distance for each move is 1m. Make it challenging!! 6. Place the penny with the X, X side down at the point the fifth card ends. You do this so that when the other group follows your directions, they can tell if they finished where you finished. Scatter the other four pennies around the table as distracters. 7. You now have 5 cards each with a direction on it, Keep your cards in order, but again, do not number them! 8. Turn your cards in to your teacher. 9. When all groups are back, your group's cards will be given to another group. When you get another groups cards do not turn over the pennies. Follow their directions and see if X marks your spot. Don t move the X penny yet. 10. Now, mix up the cards!!! Try following the directions in this mixed up order! See if you can come out at the same spot. If you find that one of the cards has on it a direction and distance you cannot follow because of a wall or you go off the table, do the next card instead and do the other direction later. 11. When all groups are done we will see how well each did. Question: 1. Does it matter whether you followed the directions in the same order as measured or can you still get to the same finish point if you follow them in a mixed up order?
4
5 Vectors Vector Concepts (Graphical) NAME: Quantities that have both a magnitude (tells how much) and a direction. Examples are displacement, velocity, acceleration and force. Resultant The sum of two or more vectors. You can think of this as the one vector that can replace the two or more vectors you have added up. 1. Some vectors are shown in the picture below. For each problem, sketch how you would add the given vectors using the Tip to Tail method. a.! A +! B b. A B C D E F G! A +! D c.! D +! G d.! B +! C e.! C +! E f.! F +! G g.! E +! F 2. What is the resultant displacement for these pairs of displacement vectors? a. 20 m West + 15 m South b. 12 km East + 10 km North East Scale: cm = m Magnitude: Direction: Scale: cm = km Magnitude: Direction: 3. The resultant velocity of a plane is the sum of its velocity in the air and the velocity of the air itself. What is the resultant velocity of a plane flying with a velocity of 100 m/s due East in air that has a velocity of 60 m/s North? Scale: cm = m/s Magnitude: Direction: side 1
6 Vector Concepts (Graphical) NAME: 4. Imagine you have two vectors, one of magnitude 3 and the other of magnitude 4, but you don t know anything about their actual directions. a. What is the largest possible resultant you could have? How would you add them up? b. What is the smallest possible resultant you could have? How would you add them up? *c. If their vector sum had a magnitude of 5, what is true about the vectors? 5. Find the horizontal and vertical components of each given vector. They are all drawn to scale. Scale: 1 cm = 5 units (m, km, or m/s) a. b. c. 15 m 20 m/s 20 km x: y: x: y: v x : v y : d. e. f. 15 m/s 100 m/s 20 km v x : v y : v x : v y : x: y: side 2
7 Vector Concepts (Trig) NAME: The diagrams below shows right triangles, one representing position and the other representing velocity. For each picture, what is the Pythagorean Theorem? r! x y What is the sine of θ? What is the cosine of θ? v! v x v y In terms of the hypoteneuse and the angles shown above, what are x & y and v x & v y? x = y = v x = v y = Questions 1. Use the Pythagorean Theorem to find the speeds of the following velocity vectors: a. v 8 m/s 5 m/s v b. 5 m/s 20 m/s c. 9 m/s v 4 m/s d. v 30 m/s 10 m/s 2. You are given the horizontal and vertical components of different velocity vectors. Find the resultant speed: a. v x = 7 m/s v y = 5 m/s v = b. v x = 15 m/s v y = 8 m/s v = c. v x = 20 m/s v y = 25 m/s v = d. v x = 10 m/s v y = 15 m/s v = 3. For each of the triangles shown, calculate the sides of the right triangles, given the hypoteneuse and angle: x a º x y b. 25º 40 y c. 7 40º x y d. x 15º 20 y Side 1
8 Vector Concepts (Trig) 4. Calculate the components of each of the velocities shown: NAME: 25 m/s 15º 8 m/s 40 m/s a. 20º b. 10 m/s c. 70º d. 90º 5. Calculate the components of the given velocities: a. A ball is kicked with a velocity of 30 m/s at an angle of 35º above the horizontal. v x = m/s v y = m/s b. A pen is tossed with an initial velocity of 5 m/s at an angle of 65º above the horizontal. v x = m/s v y = m/s c. A projectile hits the ground with a velocity of 25 m/s at an angle of 40º below the horizontal. v x = m/s v y = m/s d. A block of ice slides off a roof with an initial velocity of 9 m/s at an angle of 30º below the horizontal. v x = m/s v y = m/s e. A ball rolls horizontally off a table with a speed of 8 m/s. v x = m/s v y = m/s f. A soccer ball in the air has a velocity of 32 m/s at an angle of 25º above the horizontal. v x = m/s v y = m/s g. A pen is thrown straight up in the air with an initial velocity of 18 m/s. v x = m/s v y = m/s h. A bullet is fired with an initial velocity of 400 m/s at an angle of 15º above the horizontal. v x = m/s v y = m/s Side 2
9 Vector Word Problems NAME: 1. The pilot of a plane points his airplane due South and flies with an airspeed of 120 m/s. Simultaneously, there is a steady wind blowing due West with a constant speed of 40 m/s. a. Make a sketch that shows how to find the resultant velocity of the plane. Roughly in what direction is the resultant velocity? b. What is the resultant speed of the airplane? b. After one hour, how far away is the plane from its starting point? 2. A swimmer is able to swim with a speed of 5 m/s in a pool (this is her water speed.) This same swimmer goes swimming in a river which has a current flowing to the East with a constant speed of 3 m/s. Assume her water speed is always 5 m/s. a. What would be her resultant velocity if she tries to swim due East with the current? (Include a vector sketch.) b. What would be her resultant velocity if she were to try to swim due West against the current? (Include a vector sketch.) c. What would be her resultant velocity if she points herself due North straight across the river? (Include a vector sketch.) 3. A plane is flying due North at 80 m/s. There is a cross wind of 30 m/s that is blowing due East. a. Draw a vector diagram showing how these velocities add. Roughly in what direction is the resultant velocity? b. How fast is the plane flying with respect to the ground? side 1
10 Vector Word Problems NAME: river flow 4. A 50 meter wide river is flowing at 5 m/s to the left, as shown in the diagram above. A person in a kayak always rows with a water speed of 8 m/s. a. If the kayaker points straight across, what is the final speed of the kayaker? (Include a vector sketch.) b. What would be the maximum possible speed of the kayaker (and in what direction should they point?) c. What would be the slowest possible speed of the kayaker (and in what direction should they point?) *d. How long would it take the kayaker to cross from part a? (Hint: what is the component of the velocity straight across the river?) **e. In what direction should they point so that their resultant velocity is straight across the river? (Include a vector sketch.) 5. A 50 meter wide river is flowing at 5 m/s to the left, as shown in the diagram above. A person in a kayak always rows with a water speed of 3 m/s. a. What would be the maximum possible speed of the kayaker (and in what direction should they point?) b. What would be the slowest possible speed of the kayaker (and in what direction should they point?) *c. If the kayaker tries to kayak heads straight across the river, how long would it take the kayaker to cross? Answers: 1. a) ~SW (71.6º S of W) b) m/s c) 455,000 m (=455 km) 2. a) 8 m/s E b) 2 m/s W c) 5.83 m/s 3. a) ~NE (69.4º N of E) b) 85.4 m/s 4. a) 9.43 m/s b) 13 m/s W c) 3 m/s E d) 6.25 s e) ~NE (51.3º N of E) 5. a) 8 m/s W b) 2 m/s W  but they point E c) 16.7 s side 2
11 Cliff Problems NAME: 1. A ball rolls off the edge of a table. It has an initial horizontal velocity of 3 m/s and is in the air for 0.75 seconds before hitting the floor. a. How high is the table? b. How far away (horizontally) from the edge of the table does the ball land? c. What are the horizontal and vertical components of the ball s velocity when it lands? d. How fast is the ball going when it lands? 2. The Coyote is chasing the Road Runner when the Road Runner suddenly stops at the edge of a convenient cliff. The Coyote, traveling with a speed of 15 m/s, does not stop and goes flying off the edge of the cliff, which is 100 meters high. a. How long is the Coyote in the air? b. Where does the Coyote land? c. What are the horizontal and vertical components of the Coyote s velocity when he lands? d. How fast is the Coyote going when he lands? 3. A car full of bad guys goes off the edge of a cliff. If the cliff was 75 meters high, and the car landed 60 meters away from the edge of the cliff, calculate the following: a. The total time the car was in the air. b. The initial velocity of the car. (Give the components.) c. The final velocity of the car just as it hits the ground. (Give the components.) d. The final speed of the car just as it hits the ground. Answers: 1. a) 2.81 m b) 2.25 m c) v x = 3 m/s & v y = 7.5 m/s d) 8.1 m/s 2. a) 4.47 s b) 67.1 m c) v x = 15 m/s & v y = 44.7 m/s d) 47.2 m/s 3. a) 3.87 s b) v x = 15.5 m/s & v y = 0 m/s c) v x = 15.5 m/s & v y = 38.7 m/s d) 41.7 m/s
12 More Cliff Problems NAME: 4. A ball is shot horizontally from a window. It has an initial horizontal velocity of 4 m/s and is in the air for 1.35 seconds before hitting the ground. a. How high is the window? b. How far away (horizontally) from the edge of the building does the ball land? c. What are the horizontal and vertical components of the ball s velocity when it lands? d. How fast is the ball going when it lands? 5. The Coyote is chasing the Road Runner when the Road Runner suddenly stops at the edge of a convenient cliff. The Coyote, traveling with a speed of 25 m/s, does not stop and goes flying off the edge of the cliff, which is 200 meters high. a. How long is the Coyote in the air? b. Where does the Coyote land? c. What are the horizontal and vertical components of the Coyote s velocity when he lands? d. How fast is the Coyote going when he lands? 6. A plane is flying across a level field and is 150 meters off the ground. When the plane is directly over point A, it releases a package, which then falls to the ground, and lands at point B, which is 500 meters away from point A. Calculate the following: a. The total time the package was in the air. b. The initial velocity of the package. (Give the components.) c. The final velocity of the package just as it hits the ground. (Give the components.) d. The final speed of the package just as it hits the ground. Answers: 4. a) 9.1 m b) 5,4 m c) v x = 4 m/s & v y = 13.5 m/s d) 14.1 m/s 5. a) 6.32 s b) m c) v x = 25 m/s & v y = 63.2 m/s d) 68 m/s 6. a) 5.48 s b) v x = 91.3 m/s & v y = 0 m/s c) v x = 91.3 m/s & v y = 54.8 m/s d) m/s
13 Lab 31: Projectile Challenge NAME: Part I: Calculate how fast the launcher shoots projectile Shoot launcher straight up and measure the maximum height of the ball. Maximum height = m Use v 2 f = v 2 i + 2 g d where g = 10 m/s 2 Vi = Part II: Calculate how far away to place the cup. Vi = Vx = X = Side 1
14 Part III: Optional Bonus (+1) Lab 31: Projectile Challenge NAME: Combine d v f + v i 2 2 = and v f = vi + gt to show that v f = vi + 2ad t 2 Part IV: Optional Bonus (+1) Side 2
15 Lab 32: Projectile Motion NAME Purpose: 1. To examine the motion of a projectile through the use of a camcorder. 2. To produce position and velocity graphs of a projectile s motion for horizontal and vertical components. 3. To analyze the motion of the projectile. Procedure: 1. Two students will be videotaped tossing a tennis ball back and forth. This video will be converted into a small computer file, which will be analyzed using Logger Pro. 2. Make sure that the LabPro is NOT plugged into the computer. Open up Logger Pro. Under Insert, choose Movie... Choose the correct movie. It will open up in the middle of the screen of Logger Pro. 3. Enable video analysis by clicking on the box on the bottom right of the movie that looks like the button to the left. 4. Set the scale of the movie by clicking on the Set Scale button (upper right corner), then clicking and dragging across the length of the meter stick on the wall. 5. Set the origin by clicking on the Set Origin button (upper right corner), and then clicking on the first position of the tennis ball. 6. Now to record the actual position of the tennis ball for each frame of the movie, click on the Add Point button (upper right corner.) Carefully center the mouse on the tennis ball, and click. Logger Pro will record the x and y coordinates of the mouse click, and the movie will automatically go the next frame. Do this for each frame of the movie. 7. To clean up the window, under Page, choose Auto Arrange. You should now see the position vs. time graphs on the main screen. 8. To add the velocity vs. time graphs, under Insert, choose Graph. A floating window will appear with a new graph in it. Again, under Page, choose Auto Arrange. 9. To add the second velocity graph, click on the axis label (probably X Velocity ) and then choose More... in the popup window that appears. Make sure both X Velocity and Y Velocity are checked off and then click OK. 10. Sketch what the graphs look like in the space below. Make sure you label each graph. three of the graphs should be lines; write down the slopes for those under neath the graph. 11. Answer the questions on the other side. Graphs from Logger Pro slope = slope = slope = slope = side 1
16 Lab 32: Projectile Motion NAME Questions: 1. The graph of horizontal position verses time is a straight line. What is the slope of the line, and what does the slope represent? 2. The graph of horizontal velocity verses time may be a little scattered, but should be basically horizontal. How do you interpret this graph, taking into account the graph of horizontal position verses time? Was there any acceleration? 3. The graph of vertical position verses time is a curve what does this graph tell you about the motion of the projectile? (It should look like a graph from an earlier lab, if that helps to interpret the graph.) 4. The graph of vertical velocity verses time is a straight line. What is the slope of the line, and what does the slope represent? 5. Let s summarize these results: a. What happens to the horizontal velocity (v x ) of a projectile while in the air? b. What happens to the vertical velocity (v y ) of a projectile while in the air? c. What is the magnitude of the acceleration of a projectile? d. In which direction does a projectile accelerate? 6. For an object that is caught at the same height from which it was thrown and ignoring air resistance a. what is true about the time needed to go up compared to the time needed to go down? b. what is true about the initial horizontal velocity compared to the final horizontal velocity? c. what is true about the initial vertical velocity compared to the final vertical velocity? d. what is its velocity at its maximum height? e. what is its acceleration initially, at its maximum height and finally? side 2
17 Projectile Motion Concept Sheet NAME: Projectile motion is a combination of two separate motions: constant speed horizontally and constant acceleration due to gravity vertically. On this sheet, you will calculate what happens to the components of a projectile's velocity and position, and then graph the positions, much as you did on some previous concept sheets. For this problem, we have a projectile launched upward with an initial horizontal velocity of 20 m/s and an initial vertical velocity of 30 m/s. Answer the following questions first: 1. What is the actual initial speed of the projectile? 2. What happens to the horizontal component of the velocity as the projectile flies through the air? 3. What happens to the vertical component of the projectile as it flies through the air? 4. At the projectile s maximum height, what is the horizontal component of its velocity? 5. At the projectile s maximum height, what is the vertical component of its velocity? Now to fill out the chart on the other side by completing the following: 6. Fill out the column for the horizontal velocity (V x ) at each point in time. Explain how you filled the chart out, or show your calculations here. 7. Fill out the column for the vertical velocity (V y ) at each point in time. Explain how you filled the chart out, or show your calculations here. 8. Fill out the column for the horizontal position (X) at each point in time. Explain how you filled the chart out, or show your calculations here. 9. Fill out the column for the vertical position (Y) at each point in time. Explain how you filled the chart out, or show your calculations here. side 1
18 Projectile Motion Concept Sheet NAME: Time (s) V x (m/s) Velocity V y (m/s) X (m) Position Y (m) Mark each of the positions of the projectile (X,Y) on the coordinate shown below. Label each position t= with the appropriate time. The first position is already done for you. 11. At each position, draw vectors to represent both components of the velocity. Use the scale of 1 square = 10 m/s. The first position is already done for you m/s 20 m/s side 2
19 Projectile Motion Concept Sheet NAME: Questions: 1. Imagine that you did the same thing for a projectile with an initial V x of 10 m/s and V y of 30 m/s. a. What would be different? b. What would be the same? c. How long would the projectile be in the air? d. What would be the maximum height of this projectile? e. How far away would the projectile land? 2. Imagine that you did the same thing for a projectile with an initial V x of 30 m/s and V y of 30 m/s. a. What would be different? b. What would be the same? c. How long would the projectile be in the air? d. What would be the maximum height of this projectile? e. How far away would the projectile land? 3. If you wanted the projectile to go higher, a. what should you change? Explain. b. would this affect the time in the air? Explain. c. would this affect how far away the projectile landed? Explain. side 3
20 Projectile Motion Concept Sheet 4. Imagine that three different projectiles were launched across a level field. All the projectiles had the exact same maximum height, but they landed in different places. The paths of the projectiles are shown in the diagram to the right. a. Which projectile was in the air the longest time? NAME: A B C b. Which projectile had the largest initial vertical velocity? c. Which projectile had the largest horizontal velocity? 5. Imagine that three different projectiles were launched across a level field. All the projectiles landed in the same place, but had different maximum heights. The paths of the projectiles are shown in the diagram to the right. a. Which projectile was in the air the longest time? C B A b. Which projectile had the largest initial vertical velocity? c. Which projectile had the largest horizontal velocity? 6. Imagine that three different projectiles were launched across a level field. The projectiles all had different maximum heights and landed in different places. The paths of the projectiles are shown in the diagram to the right. a. Which projectile was in the air the longest time? b. Which projectile had the largest initial vertical velocity? A B C c. Which projectile had the largest horizontal velocity? 7. Imagine that three different projectiles were launched across a level field. The projectiles all had different maximum heights and landed in different places. The paths of the projectiles are shown in the diagram to the right. a. Which projectile was in the air the longest time? b. Which projectile had the largest initial vertical velocity? A B C c. Which projectile had the largest horizontal velocity? (Be careful!) side 4
21 Lab 33: Projectile Range NAME Purpose: 1. To experimentally determine the initial launch angle that will give the maximum range of a projectile with a given initial speed. 2. To experimentally determine the relationship between angles that give the same range of a projectile with a given initial speed. 3. To use your experimental results to predict the landing position of a projectile for a given angle and to predict the angle to get a given landing position. Materials: 1 projectile launcher 1 paper strip 1 carbon paper 1 meter stick 1 cclamp launcher paper strip, taped to table Procedure: 1. Clamp the projectile launcher to the end of your lab bench so that it will launch the ball bearing down your lab bench from the level of the table top. (Use the guide on the side of the launcher to see the initial launch position.) 2. Tape a strip of paper to the lab table so that the ball bearing will land on it. 3. As best you can, fire the projectile and record the range for 5º intervals, from 80º to 10º. You can assume that the angle of 90º and 0º will have a range of 0 cm. Fire the projectile to see about where it lands, place the carbon paper at that spot, and relaunch the projectile to measure its range. Try 3 launches per angle. (Angles less than 15º can be hard to do.) 4. Measure the distances to the average landing spot for each angle, and record in the data table. 5. Make a graph of Range vs. Angle. Make sure axes are labeled and your graph has a title. Data: Launch Angle (º) Range (cm) Launch Angle (º) Range (cm) Launch Angle (º) Range (cm) Answer questions on other side. side 1
22 Lab 33: Projectile Range NAME Questions: 1. Based on your data and graph, what is the relationship for launch angles that will have the same range? 2. Which angle will give the maximum range? 3. Would your results (questions 1 and 2) have worked if the projectile were fired off a cliff? Explain. 4. From your graph, predict where the projectile will land when fired with the initial angle given to you by your teacher. Place the target (from your teacher) at that location and call your teacher over to test it. 5. From your graph, predict the angle at which you need to launch the projectile so that it hits with the range given to you by your teacher. Place the target (from your teacher) at that location and call your teacher over to test it. side 2
23 Projectile Motion Problems NAME: 1. A student tosses an eraser to his friend. The initial horizontal velocity of the eraser was 4.5 m/s and the initial vertical velocity was 5.36 m/s. The friend catches the eraser at the same level from which it was tossed. a. How long was the eraser in the air? b. How far apart were the two friends? c. What was the maximum height of the eraser? d. What were the components of the velocity at the top of its flight? 2. A kangaroo is jumping across a field in the outback. The kangaroo jumps with an initial horizontal velocity of 8 m/s and an initial vertical velocity of 5 m/s. a. What was the initial speed of the kangaroo? b. How long was the kangaroo in the air? c. What was the maximum height of the kangaroo? d. What was the horizontal distance of the kangaroo s jump? 3. Mary throws a ball to Suzy, who is standing 25 meters away. Suzy catches the ball from the same height at which it was thrown. If the ball was in the air for 4 seconds, calculate the following: a. Horizontal velocity. b. Maximum height of the ball. c. Initial vertical velocity. d. What happens to the components of the velocity and the acceleration as the ball flies through the air? side 1
24 Projectile Motion Problems NAME: 4. Larry tosses a volleyball to his wife, Lise, who catches it at the same height from which it was tossed. The volleyball has an initial velocity of 15 m/s at an angle of 30º above the horizontal. a. What are the components of the initial velocity? b. How many seconds does it take the volleyball to reach its maximum height? c. How far apart are Lise and Larry? d. What was the acceleration of the volleyball after 1 second? Give the magnitude and direction. *5. An astronaut on the moon tosses a rock with an initial velocity of 3 m/s at an angle of 35º above the horizontal. The acceleration due to gravity on the moon is 1.7 m/s 2. a. What were the components of the initial velocity of the rock? b. How long was the rock in the air? c. What was the maximum height of the rock? d. What was the horizontal distance traveled by the rock? Answers: 1. a) 1.07 s b) 4.82 m c) 1.44 m d) v x = 4.5 m/s & v y = 0 m/s 2. a) v = 9.43 m/s b) 1.0 s c) 1.25 m d) 8 m 3. a) 6.25 m/s b) 20 m c) 20 m/s up d) v x = constant = 6.25 m/s & acceleration = constant = 10 m/s 2 down & v y starts positive 20 m/s (up) decreases to 0 m/s at top and continues to decrease to 20 m/s (down) when finally caught 4. a) v x = 13 m/s & v y = 7.5 m/s b) 0.75 s c) 19.5 m d) acceleration = gravity = 10 m/s 2 down 5. a) v x = 2.46 m/s & v y = 1.72 m/s b) 2.02 s c) 0.87 m d) 4.97 m side 2
Projectile Motion Vocabulary
Projectile Motion Vocabulary Term Displacement vector Definition Projectile trajectory range 1 Page What is a displacement vector? Displacement Vector of (10 m, 45 o ) 10 m θ = 45 o When you throw a ball
More informationPSI AP Physics B Kinematics MultipleChoice Questions
PSI AP Physics B Kinematics MultipleChoice Questions 1. An object moves around a circular path of radius R. The object starts from point A, goes to point B and describes an arc of half of the circle.
More informationProjectile Motion 1:Horizontally Launched Projectiles
A cannon shoots a clown directly upward with a speed of 20 m/s. What height will the clown reach? How much time will the clown spend in the air? Projectile Motion 1:Horizontally Launched Projectiles Two
More informationCartesian Coordinate System. Also called rectangular coordinate system x and y axes intersect at the origin Points are labeled (x,y)
Physics 1 Vectors Cartesian Coordinate System Also called rectangular coordinate system x and y axes intersect at the origin Points are labeled (x,y) Polar Coordinate System Origin and reference line
More informationSummary Notes. to avoid confusion it is better to write this formula in words. time
National 4/5 Physics Dynamics and Space Summary Notes The coloured boxes contain National 5 material. Section 1 Mechanics Average Speed Average speed is the distance travelled per unit time. distance (m)
More informationChapter 3 Kinematics in Two or Three Dimensions; Vectors. Copyright 2009 Pearson Education, Inc.
Chapter 3 Kinematics in Two or Three Dimensions; Vectors Vectors and Scalars Units of Chapter 3 Addition of Vectors Graphical Methods Subtraction of Vectors, and Multiplication of a Vector by a Scalar
More informationPhysics 201. Fall 2009. Two Dimensional Motion Due Friday November 6, 2009
Physics 201 Fall 2009 Two Dimensional Motion Due Friday November 6, 2009 Points: 30 Name Partners This is a more detailed lab experiment than the exercises you have done in the class in the past. You will
More informationChapter Rules for significant digits are covered on page 7 of the text and pages 13 in the lab book.
Chapter 1 1. To express the answer in seconds, convert years to days (use 364 days in one year), days to hours and hours to seconds. Use the factor/label method. 2. Rules for significant digits are covered
More informationThe quest to find how x(t) and y(t) depend on t is greatly simplified by the following facts, first discovered by Galileo:
Team: Projectile Motion So far you have focused on motion in one dimension: x(t). In this lab, you will study motion in two dimensions: x(t), y(t). This 2D motion, called projectile motion, consists of
More information2. (P2.1 A) a) A car travels 150 km in 3 hours, what is the cars average speed?
Physics: Review for Final Exam 1 st Semester Name Hour P2.1A Calculate the average speed of an object using the change of position and elapsed time 1. (P2.1 A) What is your average speed if you run 140
More informationExam 1 Review Questions PHY 2425  Exam 1
Exam 1 Review Questions PHY 2425  Exam 1 Exam 1H Rev Ques.doc  1  Section: 1 7 Topic: General Properties of Vectors Type: Conceptual 1 Given vector A, the vector 3 A A) has a magnitude 3 times that
More informationPhysics  Workman Practice/Review for Exam on Chapter 3
Physics  Workman Practice/Review for Exam on Chapter 3 1. Which of the following is a physical quantity that has a magnitude but no direction? a. vector b. scalar c. resultant d. frame of reference 2.
More informationThe quest to find how x(t) and y(t) depend on t is greatly simplified by the following facts, first discovered by Galileo:
Team: Projectile Motion So far you have focused on motion in one dimension: x(t). In this lab, you will study motion in two dimensions: x(t), y(t). This 2D motion, called projectile motion, consists of
More informationMotion in OneDimension
This test covers onedimensional kinematics, including speed, velocity, acceleration, motion graphs, with some problems requiring a knowledge of basic calculus. Part I. Multiple Choice 1. A rock is released
More informationProjectile Motion & Conservation of Energy
Projectile Motion & Conservation of Energy Equipment Qty Item Part Number 1 Mini Launcher ME6800 1 Metal Sphere Projectile 1 and 2 Meter Sticks 1 Large Metal Rod ME8741 1 Small Metal Rod ME8736 1 Support
More information1 of 7 9/5/2009 6:12 PM
1 of 7 9/5/2009 6:12 PM Chapter 2 Homework Due: 9:00am on Tuesday, September 8, 2009 Note: To understand how points are awarded, read your instructor's Grading Policy. [Return to Standard Assignment View]
More informationLab 5: Projectile Motion
Description Lab 5: Projectile Motion In this lab, you will examine the motion of a projectile as it free falls through the air. This will involve looking at motion under constant velocity, as well as motion
More informationMATHEMATICAL VECTOR ADDITION
MATHEMATICAL VECTOR ADDITION Part One: The Basics When combining two vectors that act at a right angle to each other, you are able to use some basic geometry to find the magnitude and direction of the
More information1 One Dimensional Horizontal Motion Position vs. time Velocity vs. time
PHY132 Experiment 1 One Dimensional Horizontal Motion Position vs. time Velocity vs. time One of the most effective methods of describing motion is to plot graphs of distance, velocity, and acceleration
More informationLab 3  Projectile Motion Scientific Data Collection and Analysis (with some experimental design)
Partner 1: Lab 3  Scientific Data Collection and Analysis (with some experimental design) Purpose: This Minilab is designed help you apply the skills you learned in the homework; that is, to collect data
More informationChapter 3 Falling Objects and Projectile Motion
Chapter 3 Falling Objects and Projectile Motion Gravity influences motion in a particular way. How does a dropped object behave?!does the object accelerate, or is the speed constant?!do two objects behave
More information5.1 Vector and Scalar Quantities. A vector quantity includes both magnitude and direction, but a scalar quantity includes only magnitude.
Projectile motion can be described by the horizontal ontal and vertical components of motion. In the previous chapter we studied simple straightline motion linear motion. Now we extend these ideas to
More informationExperiment 2 Free Fall and Projectile Motion
Name Partner(s): Experiment 2 Free Fall and Projectile Motion Objectives Preparation PreLab Learn how to solve projectile motion problems. Understand that the acceleration due to gravity is constant (9.8
More informationChapter 3 Practice Test
Chapter 3 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following is a physical quantity that has both magnitude and direction?
More informationProjectile Motion. Prelab Assignment. Prelab Questions and Exercises. Introduction. Projectile Motion
Projectile Motion Prelab Assignment Derive algebraic expressions for the range and total timeofflight of a projectile launched with initial speed v o from a height h at an angle above horizontal. Hint:
More informationProjectiles Problem Solving Constant velocity: x=d=vt
Name: Date: Projectiles Problem Solving Constant velocity: x=d=vt Acceleration: x=d= a 2 t 2 +v 0 t ; v=at+v 0 ; x=d= v 0 +v 2 t ; v2 =v 0 2 +2 ad 1. Given the following situation of a marble in motion
More informationPeople s Physics book
The Big Idea In this chapter, we aim to understand and explain the parabolic motion of a thrown object, known as projectile motion. Motion in one direction is unrelated to motion in other perpendicular
More informationVectors are quantities that have both a direction and a magnitude (size).
Scalars & Vectors Vectors are quantities that have both a direction and a magnitude (size). Ex. km, 30 ο north of east Examples of Vectors used in Physics Displacement Velocity Acceleration Force Scalars
More informationVector Definition. Chapter 1. Example 2 (Position) Example 1 (Position) Activity: What is the position of the center of your tabletop?
Vector Definition Chapter 1 Vectors A quantity that has two properties: magnitude and direction It is represented by an arrow; visually the length represents magnitude It is typically drawn on a coordinate
More informationSpeed A B C. Time. Chapter 3: Falling Objects and Projectile Motion
Chapter 3: Falling Objects and Projectile Motion 1. Neglecting friction, if a Cadillac and Volkswagen start rolling down a hill together, the heavier Cadillac will get to the bottom A. before the Volkswagen.
More informationFREE FALL. Introduction. Reference Young and Freedman, University Physics, 12 th Edition: Chapter 2, section 2.5
Physics 161 FREE FALL Introduction This experiment is designed to study the motion of an object that is accelerated by the force of gravity. It also serves as an introduction to the data analysis capabilities
More informationPHYSICS MIDTERM REVIEW
1. The acceleration due to gravity on the surface of planet X is 19.6 m/s 2. If an object on the surface of this planet weighs 980. newtons, the mass of the object is 50.0 kg 490. N 100. kg 908 N 2. If
More informationPhysics Kinematics Model
Physics Kinematics Model I. Overview Active Physics introduces the concept of average velocity and average acceleration. This unit supplements Active Physics by addressing the concept of instantaneous
More informationPROJECTILE MOTION. Objective: To calculate the initial velocity of a projectile and verify the equations of projectile motion.
PROJECTILE MOTION Objective: To calculate the initial velocity of a projectile and verify the equations of projectile motion. Apparatus: Spring gun with ball, plumb bob, level, meter stick, target paper,
More informationPositiontime and velocitytime graphs Uniform motion problems algebra Acceleration and displacement
Positiontime and velocitytime graphs Uniform motion problems algebra Acceleration and displacement Topics: The kinematics of motion in one dimension: graphing and calculations Problemsolving strategies
More informationWeb review  Ch 3 motion in two dimensions practice test
Name: Class: _ Date: _ Web review  Ch 3 motion in two dimensions practice test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which type of quantity
More informationWorksheet to Review Vector and Scalar Properties
Worksheet to Review Vector and Scalar Properties 1. Differentiate between vectors and scalar quantities 2. Know what is being requested when the question asks for the magnitude of a quantity 3. Define
More informationProjectile Motion  Worksheet
Projectile Motion  Worksheet From the given picture; you can see a skateboarder jumping off his board when he encounters a rod. He manages to land on his board after he passes over the rod. 1. What is
More informationExperiment 2: Conservation of Momentum
Experiment 2: Conservation of Momentum Learning Goals After you finish this lab, you will be able to: 1. Use Logger Pro to analyze video and calculate position, velocity, and acceleration. 2. Use the equations
More informationMotion Lesson 1: Review of Basic Motion
Motion in one and two dimensions: Lesson 1 Seminotes Motion Lesson 1: Review of Basic Motion Note. For these semi notes we will use the bold italics convention to represent vectors. Complete the following
More informationPhysics 2A Chapter 3: Kinematics in Two Dimensions. Problem Solving
Physics 2A Chapter 3: Kinematics in Two Dimensions The only thing in life that is achieved without effort is failure. Source unknown "We are what we repeatedly do. Excellence, therefore, is not an act,
More informationKinematics 1D ~ Lab. 4. What was the average speed of the truck for the six seconds? show your work here.
Kinematics 1D ~ Lab Name: Instructions: Using a pencil, answer the following questions. The lab is marked based on clarity of responses, completeness, neatness, and accuracy. Do your best! Part 1: Graphing
More informationIn order to describe motion you need to describe the following properties.
Chapter 2 One Dimensional Kinematics How would you describe the following motion? Ex: random 1D path speeding up and slowing down In order to describe motion you need to describe the following properties.
More informationPhys 201 Fall 2009 Thursday, September 17, 2009 & Tuesday, September 19, Chapter 3: Mo?on in Two and Three Dimensions
Phys 201 Fall 2009 Thursday, September 17, 2009 & Tuesday, September 19, 2009 Chapter 3: Mo?on in Two and Three Dimensions Displacement, Velocity and Acceleration Displacement describes the location of
More informationLecture Presentation Chapter 3 Vectors and Motion in Two Dimensions
Lecture Presentation Chapter 3 Vectors and Motion in Two Dimensions Suggested Videos for Chapter 3 Prelecture Videos Vectors and Motion Projectile Motion Circular Motion Class Videos Motion on a Ramp Acceleration
More informationIntroduction to Vectors
Introduction to Vectors A vector is a physical quantity that has both magnitude and direction. An example is a plane flying NE at 200 km/hr. This vector is written as 200 Km/hr at 45. Another example is
More informationPhysics 1050 Experiment 2. Acceleration Due to Gravity
Acceleration Due to Gravity Prelab Questions These questions need to be completed before entering the lab. Please show all workings. Prelab 1: For a falling ball, which bounces, draw the expected shape
More informationOne and Twodimensional Motion
PHYS101 LAB02 One and Twodimensional Motion 1. Objective The objectives of this experiment are: to measure the acceleration of gravity using onedimensional motion to demonstrate the independence of
More informationThe figure shows the position vs. time graphs of two objects A and B moving along xaxis for 5 seconds.
Velocity from position vs. time graph The figure shows the position vs. time graphs of two objects A and B moving along xaxis for 5 seconds. (a) Do objects A and B moving along a straight line? Explain?
More informationVectors; 2D Motion. Part I. Multiple Choice. 1. v
This test covers vectors using both polar coordinates and ij notation, radial and tangential acceleration, and twodimensional motion including projectiles. Part I. Multiple Choice 1. v h x In a lab experiment,
More informationLab 8: Ballistic Pendulum
Lab 8: Ballistic Pendulum Equipment: Ballistic pendulum apparatus, 2 meter ruler, 30 cm ruler, blank paper, carbon paper, masking tape, scale. Caution In this experiment a steel ball is projected horizontally
More information2) When you look at the speedometer in a moving car, you can see the car's.
Practice Kinematics Questions Answers are at the end Choose the best answer to each question and write the appropriate letter in the space provided. 1) One possible unit of speed is. A) light years per
More informationCHAPTER 2 TEST REVIEW  ANSWER KEY
AP PHYSICS Name: Period: Date: 50 Multiple Choice 45 Single Response 5 MultiResponse Free Response 3 Short Free Response 2 Long Free Response DEVIL PHYSICS BADDEST CLASS ON CAMPUS AP EXAM CHAPTER TEST
More information2.1 Force and Motion Kinematics looks at velocity and acceleration without reference to the cause of the acceleration.
2.1 Force and Motion Kinematics looks at velocity and acceleration without reference to the cause of the acceleration. Dynamics looks at the cause of acceleration: an unbalanced force. Isaac Newton was
More informationLecture Presentation Chapter 2 Motion in One Dimension
Lecture Presentation Chapter 2 Motion in One Dimension Suggested Videos for Chapter 2 Prelecture Videos Motion Along a Line Acceleration Free Fall Video Tutor Solutions Motion in One Dimension Class Videos
More information2008 FXA DERIVING THE EQUATIONS OF MOTION 1. Candidates should be able to :
Candidates should be able to : Derive the equations of motion for constant acceleration in a straight line from a velocitytime graph. Select and use the equations of motion for constant acceleration in
More informationPHYSICS 220 LAB #2: PROJECTILE MOTION
Name: Partners: PHYSICS 220 LAB #2: PROJECTILE MOTION As a dolphin leaps out of the water, it experiences a change in velocity that is the same as that of any other mass moving freely close to the surface
More information2 Using the definitions of acceleration and velocity
Physics I [P161] Spring 2008 Review for Quiz # 3 1 Main Ideas Two main ideas were introduced since the last quiz. 1. Using the definitions of acceleration and velocity to obtain equations of motion (chapter
More informationInstructions. To run the slideshow:
Instructions To run the slideshow: Click: view full screen mode, or press Ctrl +L. Left click advances one slide, right click returns to previous slide. To exit the slideshow press the Esc key. Monkey
More informationFirst Semester Learning Targets
First Semester Learning Targets 1.1.Can define major components of the scientific method 1.2.Can accurately carry out conversions using dimensional analysis 1.3.Can utilize and convert metric prefixes
More informationProjectile motion simulator. http://www.walterfendt.de/ph11e/projectile.htm
More Chapter 3 Projectile motion simulator http://www.walterfendt.de/ph11e/projectile.htm The equations of motion for constant acceleration from chapter 2 are valid separately for both motion in the x
More informationKinematics is the study of motion. Generally, this involves describing the position, velocity, and acceleration of an object.
Kinematics Kinematics is the study of motion. Generally, this involves describing the position, velocity, and acceleration of an object. Reference frame In order to describe movement, we need to set a
More informationMarble Launcher A1 Launch Angle and Distance A2 Launch Speed and Distance B1 Launch Angle and Range... 13
Projectile Motion Reference Guide Equipment Setup Marble Launcher........................................................................ 1 Investigation Guides A1 Launch Angle and Distance.........................................................
More informationAcceleration of Gravity
Acceleration of Gravity Introduction: In this experiment, several objects' motion are studied by making several measurements of the objects position (or displacement) at different times. Since the objects
More informationGravity PreLab 1. Why do you need an inclined plane to measure the effects due to gravity?
AS 101 Lab Exercise: Gravity (Report) Your Name & Your Lab Partner s Name Due Date Gravity PreLab 1. Why do you need an inclined plane to measure the effects due to gravity? 2. What are several advantage
More informationPhysics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam
Physics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam INSTRUCTIONS: Use a pencil #2 to fill your scantron. Write your code number and bubble it in under "EXAM NUMBER;" an entry
More information1.3 Displacement in Two Dimensions
1.3 Displacement in Two Dimensions So far, you have learned about motion in one dimension. This is adequate for learning basic principles of kinematics, but it is not enough to describe the motions of
More informationPhysics 1120: 2D Kinematics Solutions
Questions: 1 2 3 4 5 6 7 8 9 10 11 Physics 1120: 2D Kinematics Solutions 1. In the diagrams below, a ball is on a flat horizontal surface. The inital velocity and the constant acceleration of the ball
More informationExamples of Scalar and Vector Quantities 1. Candidates should be able to : QUANTITY VECTOR SCALAR
Candidates should be able to : Examples of Scalar and Vector Quantities 1 QUANTITY VECTOR SCALAR Define scalar and vector quantities and give examples. Draw and use a vector triangle to determine the resultant
More informationB) 286 m C) 325 m D) 367 m Answer: B
Practice Midterm 1 1) When a parachutist jumps from an airplane, he eventually reaches a constant speed, called the terminal velocity. This means that A) the acceleration is equal to g. B) the force of
More informationAcceleration of Gravity Lab Basic Version
Acceleration of Gravity Lab Basic Version In this lab you will explore the motion of falling objects. As an object begins to fall, it moves faster and faster (its velocity increases) due to the acceleration
More informationGraph Matching. walk back and forth in front of Motion Detector
Experiment 1 One of the most effective methods of describing motion is to plot graphs of distance, velocity, and acceleration vs. time. From such a graphical representation, it is possible to determine
More informationB) 40.8 m C) 19.6 m D) None of the other choices is correct. Answer: B
Practice Test 1 1) Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.60 s and reaches the level of the top of the pole after a total elapsed time
More informationMOTION (Chapter 2) Student Learning Objectives 2/11/2016. Compare and contrast terms used to describe motion Analyze circular and parabolic motion
MOTION (Chapter 2) https://www.youtube.com/watch?v=oxchhqldbe Student Learning Objectives Compare and contrast terms used to describe motion Analyze circular and parabolic motion PHYSICS:THE MOST FUNDAMENTAL
More informationTable of Contents. Graphing with Excel 1
Table of Contents Graphing with Excel 1 1. Graphing Data 1.1. Starting the Chart Wizard 1.2. Selecting the Data 1.3. Selecting the Chart Options 1.3.1. Titles Tab 1.3.2. Axes Tab 1.3.3. Gridlines Tab 1.3.4.
More informationWWW.MIAMIBESTMATHTUTOR.COM EMAIL: MIAMIMATHTUTOR@GMAIL.COM CONTACT NUMBER: (786)5564839 PHYSICS I
WWW.MIAMIBESTMATHTUTOR.COM PAGE 1 OF 10 WWW.MIAMIBESTMATHTUTOR.COM EMAIL: MIAMIMATHTUTOR@GMAIL.COM CONTACT NUMBER: (786)5564839 PHYSICS I PROJECTILE MOTION 4.1 1. A physics book slides off a horizontal
More information6. Solve for x. Sides Have: Want: Function: ( ) =
Physics, Mr. Kent Daily Worksheet: Trig in Physics Name: 1. In we use three functions,,. 2. You re always given an and one and you re always asked to find. 3. Label the sides: 4. Provide the 3 trigonometric
More informationThe BulletBlock Mystery
LivePhoto IVV Physics Activity 1 Name: Date: 1. Introduction The BulletBlock Mystery Suppose a vertically mounted 22 Gauge rifle fires a bullet upwards into a block of wood (shown in Fig. 1a). If the
More informationExam #1 PHYSICS 211 Monday June 29 th, 2009 Please write down your name also on the back page of this exam
Exam #1 PHYSICS 211 Monday June 29 th, 2009 NME Please write down your name also on the back page of this exam 1. particle moves along a circular path in the counterclockwise direction, as indicated in
More informationChapter 07 Test A. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Chapter 07 Test A Multiple Choice Identify the choice that best completes the statement or answers the question. 1. An example of a vector quantity is: a. temperature. b. length. c. velocity.
More informationA scalar quantity is fully described by its magnitude (size) and unit, e.g. time = 220 s. Force = 800 N upwards direction
Vector and Scalar Quantities (recap on National 5 Physics) A scalar quantity is fully described by its magnitude (size) and unit, e.g. quantity time = 220 s unit magnitude A vector quantity is fully described
More informationProjectile Motion Introduction:
Projectile Motion Introduction: A projectile is a body in free fall that is subject only to the forces of gravity (9.81ms ²) and air resistance. An object must be dropped from a height, thrown vertically
More informationPhysics 1020 Laboratory #6 Equilibrium of a Rigid Body. Equilibrium of a Rigid Body
Equilibrium of a Rigid Body Contents I. Introduction II. III. IV. Finding the center of gravity of the meter stick Calibrating the force probe Investigation of the angled meter stick V. Investigation of
More informationPhysics Exam Q1 Exam, Part A Samples
Physics Exam Q1 Exam, Part A Samples 1. An object starts from rest and accelerates uniformly down an incline. If the object reaches a speed of 40 meters per second in 5 seconds, its average speed is (A)
More informationVANDERBILT STUDENT VOLUNTEERS FOR SCIENCE Straw Rockets Spring 2012
VANDERBILT STUDENT VOLUNTEERS FOR SCIENCE http://studentorgs.vanderbilt.edu/vsvs Straw Rockets Spring 2012 Goal: To explain the concepts of angle of trajectory vs. distance and the horizontal/vertical
More informationWhat assumptions are being made by modelling an object as a projectile? Time (t seconds)
Galileo s projectile model In this activity you will validate Galileo s model for the motion of a projectile, by comparing the results predicted by the model with results from your own experiment. Information
More informationMicrosoft Excel Tutorial
Microsoft Excel Tutorial by Dr. James E. Parks Department of Physics and Astronomy 401 Nielsen Physics Building The University of Tennessee Knoxville, Tennessee 379961200 Copyright August, 2000 by James
More informationPhysics 160 Biomechanics. Projectiles
Physics 160 Biomechanics Projectiles What is a Projectile? A body in free fall that is subject only to the forces of gravity and air resistance. Air resistance can often be ignored in shotput, long jump
More informationPhysics Exam 1 Review  Chapter 1,2
Physics 1401  Exam 1 Review  Chapter 1,2 13. Which of the following is NOT one of the fundamental units in the SI system? A) newton B) meter C) kilogram D) second E) All of the above are fundamental
More informationSolving Simultaneous Equations and Matrices
Solving Simultaneous Equations and Matrices The following represents a systematic investigation for the steps used to solve two simultaneous linear equations in two unknowns. The motivation for considering
More informationWEEK 2: INTRODUCTION TO MOTION
Names Date OBJECTIVES WEEK 2: INTRODUCTION TO MOTION To discover how to use a motion detector. To explore how various motions are represented on a distance (position) time graph. To explore how various
More informationLecture PowerPoints. Chapter 3 Physics: Principles with Applications, 6 th edition Giancoli
Lecture PowerPoints Chapter 3 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the
More informationThe Magic Chart Honors Physics
The Magic Chart Honors Physics Magic Chart Equations v = v o + a t x = v o t + 1/2 a t 2 x = ½ (v o + v) t v 2 = v 2 o + 2a x x = vt  1/2 a t 2 x Who Cares Quantity v a t v o THE WHO CARES QUANTITY tells
More informationChapter 6A. Acceleration. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University
Chapter 6A. Acceleration A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 2007 The Cheetah: : A cat that is built for speed. Its strength and agility
More information4 Linear Motion. You can describe the motion of an object by its position, speed, direction, and acceleration.
You can describe the motion of an object by its position, speed, direction, and acceleration. 4.1 Motion Is Relative An object is moving if its position relative to a fixed point is changing. 4.1 Motion
More information4.1 Motion Is Relative. An object is moving if its position relative to a fixed point is changing.
4.1 Motion Is Relative You can describe the motion of an object by its position, speed, direction, and acceleration. An object is moving if its position relative to a fixed point is changing. 4.1 Motion
More informationTeaching Time: Projectiles
27206_U04L18_184195.indd Page a184 8/14/07 7:52:28 PM user /Volumes/ju104/BIP00001/BIP00001indd%0/Unit 4 27206_U04L18_184195.indd Page a185 8/14/07 7:52:28 PM user /Volumes/ju104/BIP00001/BIP00001indd%0/Unit
More informationFREE FALL AND PROJECTILE MOTION
FREE FALL AND PROJECTILE MOTION 1 Let s review equations and then split them into X (horizontal) and Y (vertical). GENERAL HORIZONTAL VERTICAL V f = V i + aδt V fx = V ix + a x t V fy = V iy + a y t x
More informationTHE CONSERVATION OF ENERGY  PENDULUM 
THE CONSERVATION OF ENERGY  PENDULUM  Introduction The purpose of this experiment is to measure the potential energy and the kinetic energy of a mechanical system and to quantitatively compare the two
More information1. Ignoring friction with the air, at what angle relative to the horizontal would a projectile travel the greatest horizontal distance?
North arolina Testing Program EO Physics Sample Items Goal 1. Ignoring friction with the air, at what angle relative to the horizontal would a projectile travel the greatest horizontal distance? 15 30
More information