Graphing Motion. Every Picture Tells A Story


 Evelyn Summers
 2 years ago
 Views:
Transcription
1 Graphing Motion Every Picture Tells A Story
2 Read and interpret motion graphs Construct and draw motion graphs Determine speed, velocity and accleration from motion graphs
3
4 If you make a graph by hand it should always be on graph paper. The graph should fill the available space. Carefully choosing the best scale is necessary to achieve this.
5
6 The graph should always have a title.
7 Always label the x and y axes in 3 ways: title, numerical values, and units.
8 Always make a line graph line graphs are way more handy, because they tell you how one thing changes under the influence of some other variable.
9 The x axis is always the independent variable. If time is one of the measurements being graphed, it always goes on the xaxis. Independent Variable or Manipulated Variable is what you are testing. It is what causes things to change as you make changes to it. Some people nickname it the Ido variable.
10 The y axis is always the dependent variable. Y axis Dependent Variable or the Responding Variable is the effect and it may or may not change. It is observed during as well as at the end of the experiment.
11 Dependent Responing Yaxis Manipulated Independent Xaxis D = dependent variable R = responding variable Y = graph information on the vertical axis M = manipulated variable I = independent variable X = graph information on the horizontal axis
12 Example of a Bad Graph There's no title. What's it a graph of? Who knows? There are no labels on the x or y axis. What are those numbers? Who knows? There are no units on the x or y axis. Is this a graph of speed in miles per hour or a graph of temperature in Kelvins? Who can tell?
13 What s wrong with this graph? There's no title. What's it a graph of? Who knows? There are no increments on the axes, and there are no gridlines. There are no labels on the x or y axis. What are those numbers? Who knows? There are no units on the x or y axis. What size are the numbers: kilo, centi, or milli?
14
15 Definition of slope Numerical measure of a line's incline relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it ( slope equals rise over run ).
16 A displacement time graph with time along x axis and displacement on the y axis. Velocity is positive when the object moves in the positive direction. Since the position value is increasing, the graph slopes upward. Zero slope Velocity is zero when the position does not change. This line has zero slope. Velocity is negative when the object moves In the negative direction on the Axis system. This line has a negative Slope.
17 Types of Motion Graphs Distance vs Time Position vs Time Velocity vs Time Acceleration vs Time
18 Distance vs Time Graphs Speed is the distance an object travels per unit of time. You can graphically represent the speed or an object using a distancetime graph.
19
20
21 If the speed is constant, then the slope is constant (straight line).
22 Constant Speed A uniform distance is covered for each unit of time. A constant speed graph shows a constant & positive slope
23 The steeper the slope, the faster the speed.
24
25 If the speed is changing, then the slope is changing (curve).
26 Describe the motion in each section of the graph. Decelerating Stopped Accelerating Steady speed
27 Position vs time Graphs of Constant motion Position vs. time graphs give you an easy and obvious way of determining an object s displacement at any given time, and a subtler way of determining that object s velocity at any given time.
28
29 A positiontime graph, is one in which position is Plotted on the yaxis and the time is on the xaxis. A positiontime graph is similar to a distancetime Graph but has direction on the yaxis.
30 Although distancetime and positiontime graphs can show Similar graphs, this is not always the case. Below is a graph of a person who walked to a nearby store (10 km north) and back to the original reference point, this would mean the total travelled distance is 20 km (10 km to the store and 10 km back). The distancetime graph is on the left.
31 The positiontime graph looks different because the position changed when the person turned back from the store back to the original reference point.
32 Looking at the slope of a distance vs time or a position vs time graph... Slope = Velocity As slope goes, so does velocity. If the speed is constant, then the slope is constant (straight line). If the speed is changing, then the slope is changing (curve). If the velocity is positive, then the slope is positive (moving upward, towards the right). If the velocity is negative, then the slope is negative (moving downward, towards the right). The steeper the line/curve, the faster the speed.
33 Reading and interpreting positiontime graphs
34
35 s vs t  The object is standing still at a positive location. Time is going by but the position is not changing. Since the slope equals zero it has no movement.
36 s vs t  the object is traveling at a constant positive velocity. The locations of its position are increasingly positive.
37 s vs t  the object is traveling at a constant positive velocity but is traveling through a negative region.
38 s vs t  this slope represents a constant negative velocity since the object is traveling in a negative direction at a constant rate. Notice that the locations of its position are becoming less and less positive
39 s vs t  the object is traveling at a constant negative velocity through a negative region. The locations of its position are increasingly negative.
40 The meaning of slope on a positiontime graph! If calculated properly, it shows the velocity of the motion.
41 In this graph Car A moves for 5 seconds a distance of 10 meters. How can we figure out the velocity of the car from the graph? We can use the formula for the slope of a line to get the velocity.
42
43 Any point on this graph shows the position of the ant at a particular moment in time.
44 The point at (2, 2) show that, two seconds after it started moving, the ant was two centimeters to the left of its starting position. The point at (3,1) shows that, three seconds after it started moving, the ant is one centimeter to the right of its starting position.
45 For the first two seconds, the ant is moving to the left. The next second, it reverses its direction and moves quickly to y = 1. The ant then stays still for three seconds before it turns left again and moves back to where it started.
46 For any position vs. time graph, the velocity at time t is equal to the slope of the line at time t. In a graph made up of straight lines, like the one for the ant, the slope can easily be calculated at each point on the graph to show the instantaneous velocity at any given time.
47 Determine the ant s instantaneous velocity at any given point during the trip. Remember the instantaneous velocity shows the velocity of the ant at one point. The ant is cruising along at the fastest speed between t = 2 and t = 3, because the position vs. time graph is steepest between these points.
48 Calculate the ant s average velocity during this time interval is a simple matter of dividing rise by run. Remember average velocity is the total displacement divided by the total time. The average velocity here is zero because the total diaplacement is zero. 0/7 = 0 m/s
49 Stage 1: The car moves forwards from the origin to in the first 5 s. Calculate the velocity for the car after the first five seconds.
50 Stage 2: The car moves backwards, passes the origin, to in the next 5 s. Calculate the velocity of the car between five and ten seconds.
51 Stage 3: The car remains at rest in the last 5 s. Calculate the velocity of the car for the last five seconds.
52 Distance (km) Different Slopes Slope = Rise/Run = 1 km/1 hr = 1 km/hr Run = 1 hr Slope = Rise/Run = 0 km/1 hr = 0 km/hr Rise = 1 km Run = 1 hr Rise = 0 km Time (hr) Run = 1 hr Rise = 2 km Slope = Rise/Run = 2 km/1 hr = 2 km/hr
53 Position Time Graphs of Accelerated motion Position vs. time graphs give you an easy and obvious way of determining an object s displacement at any given time, and a subtler way of determining that object s velocity at any given time.
54 A very useful aspect of these graphs is that the area under the vt graph tells us the distance travelled during the motion.
55 Since the slope represents the speed, if the speed is increasing over time, the slope must be also be increasing over time. The graph is a curve that gets steeper as you move along The xaxis. A positiontime graph for a ball in free fall is shown below.
56 The graph of an object slowing down is also cuved. The example below show the positiontime graph for a car coming to a gradual stop at a red l ight. As time passes, the car s speed decreases. The slope must therefore decrease.
57
58 answers
59 Velocity vs Time Graphs d slope = velocity t slope = acceleration v area = distance t a area = velocity t
60 If the graph is a horizontal line, there is no change in velocity, therefore there is no acceleration (the slope is 0). If the acceleration is positive then the slope is positive (the line moves upward to the right). If the acceleration is negative, then the slope is negative (the line moves downward to the right).).
61 Calculating acceleration from a velocitytime graph
62 Calculating the distance on velocitytime graph.
63 An object is moving in the positive direction if the line is located in the positive region of the graph (whether it is sloping up or sloping down). An object is moving in the negative direction if the line is located in the negative region of the graph (whether it is sloping up or sloping down). If a line crosses over the xaxis from the positive region to the negative region of the graph (or vice versa), then the object has changed directions.
64 The object moves in the + direction at a constant speed  zero acceleration (interval A). The object then continues in the + direction while slowing down with a negative acceleration (interval B). Finally, the object moves at a constant speed in the + direction, slower than before (interval C).
65 The object moves in the + direction while slowing down; this involves a negative acceleration (interval A). It then remains at rest (interval B). The object then moves in the  direction while speeding up; this also involves a negative acceleration (interval C).
66 The object moves in the + direction with a constant velocity and zero acceleration (interval A). The object then slows down while moving in the + direction (i.e., it has a negative acceleration) until it finally reaches a 0 velocity (stops) (interval B). Then the object moves in the  direction while speeding up; this corresponds to a  acceleration (interval C).
67 a plot of velocity versus time can also be used to determine the displacement of an object. The diagram below shows three different velocitytime graphs; the shaded regions between the line and the timeaxis represents the displacement during the stated time interval.
68
69
70
71 The velocitytime graph for a twostage rocket is shown below. Use the graph and your understanding of slope calculations to determine the acceleration of the rocket during the listed time intervals. When finished, click the buttons to see the answers. 40 m/s 2 20 m/s 220 m/s 2
72 Constant positive (rightward) velocity
73 Constant negative (leftward) velocity
74 Rightward velocity with rightward acceleration.
75 Rightward Velocity and negative acceleration
76 Leftward velocity, leftward acceleration
77 Leftward velocity rightward acceleration
78 Acceleration Acceleration the rate at which velocity is changing Acceleration = v/ t Can increase or decrease (sometimes called deceleration) Think of traveling in a car, you can feel the acceleration 3 ways to accelerate in a car 1. Brake pedal slowing down; coming to a stop (changing speed) 2. Steering wheel going around a corner or curve (changing direction) 3. Gas pedal leaving from a stopped position (changing speed)
79
80 The object moves in the + direction at a constant speed  zero acceleration (interval A). The object then continues in the + direction while slowing down with a negative acceleration (interval B). Finally, the object moves at a constant speed in the + direction, slower than before (interval C).
81 The object moves in the + direction at a constant speed  zero acceleration (interval A). The object then continues in the + direction while slowing down with a negative acceleration (interval B). Finally, the object moves at a constant speed in the + direction, slower than before (interval C).
82 The object moves in the + direction while slowing down; this involves a negative acceleration (interval A). It then remains at rest (interval B). The object then moves in the  direction while speeding up; this also involves a negative acceleration (interval C).
83 Zero to 90s  On this graph we see a horizontal line that reads 5m/s for those same first 90 seconds. On a vt graph a flat line means constant velocity. Constant velocity means zero acceleration.
84
85 Graphs of Motion Uniform Velocity The area under a velocity vs time graph is the displacement of the object. Find the distance traveled by each object.
86 Acceleration Suppose you are traveling in a car and your speed goes from 10.km/h to 60.km/h in 2.0s. What is your acceleration? Suppose a car goes from 80.km/h to 15km/h in 5.0 seconds. What is the acceleration? A car is coasting backwards down a hill at a speed of 3.0m/s when the driver gets the engine started. After 2.5s, the car is moving uphill at 4.5m/s. Assuming that uphill is in the positive direction, what is the car s average acceleration?
87 Graphs of Motion Velocity vs time graphs: How can you tell if the object is accelerating or decelerating? Accelerating (speeding up) when the magnitude of the velocity is increasing Decelerating (slowing down) when the magnitude of the velocity is decreasing
88 Graph Practice
89 Which pair of graphs shows the same motion? Answer 1
90 pc.org/~clement/simulations/physlets/tst/position Time%20Graphs.html
91 anics/kin/motion_graph/xt02_e.html
92
93 Stage 1: The car moves forwards from the origin to in the first 5 s.
94
95 Stage 2: The car moves backwards, passes the origin, to in the next 5 s.
96 Stage 3: The car remains at rest in the last 5 s.
97
98
99
100
101
102
103
104
105
106 What is the velocity for each stage of the journey? b. What is the average (mean) velocity for the whole journey
107
108
109
110
111
112 Distance or Displacement Distance how far an object has traveled Indianapolis is about 45 miles away The distance to Indianapolis is 45 miles; the distance back to Bloomington is 45 miles the total distance traveled round trip is 90 miles Displacement how far an object is from its original position (direction matters) The displacement to Indianapolis is 45 miles north; the displacement back to Bloomington is 45 miles south the total displacement is 0 miles You can find displacement by Finding the area under a velocity time graph Using the equation d = v avg * t
113
114
115
116 Understanding the Connection Between Slope and Velocity The slope of a line for a distance vs. time graph represents the velocity for the object in motion. Slope can be determined using the following formula: The change in y values divided by the change in x values determines the average velocity for the object between any two points.
117 Pick two points on the line and determine their coordinates. Determine the difference in ycoordinates of these two points (rise). Determine the difference in xcoordinates for these two points (run). Divide the difference in ycoordinates by the difference in xcoordinates (rise/run or slope).
118 rise over run Calculate the velocity between 3 and 4 seconds. Note: This is a constant speed graph, so the velocity should be the same at all points.
119
Motion Graphs. Plotting distance against time can tell you a lot about motion. Let's look at the axes:
Motion Graphs 1 Name Motion Graphs Describing the motion of an object is occasionally hard to do with words. Sometimes graphs help make motion easier to picture, and therefore understand. Remember: Motion
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 informationlanguage Vectors, Scalars, Distance, Displacement, Speed, Velocity, Acceleration
I. Mechanics the study of the motion of objects introduction to the language Vectors, Scalars, Distance, Displacement, Speed, Velocity, Acceleration 1 Describing motion is a mathematical science. The underlying
More informationTime hours. 1. Above is a velocity time graph of a moving car. Answer the following questions using the graph. a. At what time was the car stopped?
Time hours 1. Above is a velocity time graph of a moving car. Answer the following questions using the graph. a. At what time was the car stopped? b. At what time did the car have the greatest velocity?
More informationChapter 2: Describing Motion
Chapter 2: Describing Motion 1. An auto, starting from rest, undergoes constant acceleration and covers a distance of 1000 meters. The final speed of the auto is 80 meters/sec. How long does it take the
More informationChapter 2 Describing Motion
Chapter 2 Describing Motion Newton s Theory of Motion To see well, we must stand on the shoulders of giants. First Things First! Before we can accurately describe motion, we must provide clear definitions
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 informationUnit 2 Kinematics Worksheet 1: Position vs. Time and Velocity vs. Time Graphs
Name Physics Honors Pd Date Unit 2 Kinematics Worksheet 1: Position vs. Time and Velocity vs. Time Graphs Sketch velocity vs. time graphs corresponding to the following descriptions of the motion of an
More informationSTAAR Tutorial: Motion, Speed, Velocity and Acceleration
Name: Teacher: Period: Date: STAAR Tutorial: Motion, Speed, Velocity and Acceleration TEK 6.8C (Supporting): Calculate average speed using distance and time measurements. TEK 6.8D (Supporting: Measure
More informationIX Physics Motion and Rest
Page1 IX Physics Motion and Rest CBSE chapterwise MCQ Multiple Choice Questions, Test Paper, Sample paper on CCE pattern for class 9 science Motion. Distance and displacement, velocity; uniform and nonuniform
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 informationSpeed, velocity and acceleration
Chapter Speed, velocity and acceleration Figure.1 What determines the maximum height that a polevaulter can reach? 1 In this chapter we look at moving bodies, how their speeds can be measured and how
More informationSPEED, VELOCITY, AND ACCELERATION
reflect Look at the picture of people running across a field. What words come to mind? Maybe you think about the word speed to describe how fast the people are running. You might think of the word acceleration
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 informationMotion Unit: Part1 Speed and Acceleration Learning Targets
Motion Unit: Part1 Speed and Acceleration Learning Targets These are the things that you will know and be able to do after we finish this unit: I know  the definition for speed.  the definition for velocity.
More informationVectors. Objectives. Assessment. Assessment. Equations. Physics terms 5/15/14. State the definition and give examples of vector and scalar variables.
Vectors Objectives State the definition and give examples of vector and scalar variables. Analyze and describe position and movement in two dimensions using graphs and Cartesian coordinates. Organize and
More informationJSUNIL TUTORIAL, PANJABI COLONY GALI 01
SCIENCE & TECHNOLOGY (Class09) Chapter Motion and Rest In the physical world, one of the most common phenomena is motion. The branch of Physics, which deals with the behavior of moving objects, is known
More informationModeling Human Walking: Position and Velocity Graphs
HPP A3v1 Modeling Human Walking: Position and Velocity Graphs In this activity we will investigate the relationship between positiontime graphs and velocitytime graphs for a walking person. Materials
More informationScalar versus Vector Quantities. Speed. Speed: Example Two. Scalar Quantities. Average Speed = distance (in meters) time (in seconds) v =
Scalar versus Vector Quantities Scalar Quantities Magnitude (size) 55 mph Speed Average Speed = distance (in meters) time (in seconds) Vector Quantities Magnitude (size) Direction 55 mph, North v = Dx
More informationSome practice with velocity and position graphs
Some practice with velocity and position graphs Position to Velocity The main idea here is that the velocity is the rate of change of the position. A large velocity means the position changes fast, a big
More informationEquations: Average Speed (v) = distance time Velocity = displacement time Acceleration = V f  V i time
Motion (Speed, Velocity, Acceleration) Test Review Name _Riehbrandt Key for student use_ Physical Science Riehbrandt Hr. Equations: Average Speed (v) = distance time Velocity = displacement time Acceleration
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 informationTo define concepts such as distance, displacement, speed, velocity, and acceleration.
Chapter 7 Kinematics of a particle Overview In kinematics we are concerned with describing a particle s motion without analysing what causes or changes that motion (forces). In this chapter we look at
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 informationMotion in One Dimension  Grade 10
Chapter 3 Motion in One Dimension  Grade 10 3.1 Introduction This chapter is about how things move in a straight line or more scientifically how things move in one dimension. This is useful for learning
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 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 informationInstitute for Teaching through Technology and Innovative Practices at Longwood University Grade 8
Institute for Teaching through Technology and Innovative Practices at Longwood University Grade 8 Speed, Velocity, and Acceleration Major Topic and SOL: Science SOL Length of Unit: Speed, Velocity, and
More informationLAB 1 Graphing techniques and the acceleration of objects in free fall on Planet 'X' by R.E.Tremblay
Purpose: To learn how to make position and velocity verses time graphs when given the position of an object at various times. You will also learn how to determine initial velocity and acceleration from
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 informationPS5.1 Explain the relationship among distance, time, direction, and the velocity of an object.
PS5.1 Explain the relationship among distance, time, direction, and the velocity of an object. It is essential for students to Understand Distance and Displacement: Distance is a measure of how far an
More information1.3.1 Position, Distance and Displacement
In the previous section, you have come across many examples of motion. You have learnt that to describe the motion of an object we must know its position at different points of time. The position of an
More informationLesson 8: Making Inferences
Lesson 8: Making Inferences Selected Content Standards Benchmarks Addressed: D5M Comparing experimental probability results with theoretical probability (e.g., representing probabilities of concrete
More informationMotion; Speed; Velocity; Acceleration. Regan Willson Tucker Middle School
Motion; Speed; Velocity; Acceleration Regan Willson Tucker Middle School Speed, Velocity, and Acceleration: TEKS 8.6B Describing motion It s a fact: You are always in motion, even when you are fast asleep.
More information8.4.1.C. YEAR 11 HSC PHYSICS 8.4 MOVING ABOUT Worksheet Velocity Time Graphs. Set 1 Drawing velocitytime graphs
YEAR 11 HSC PHYSICS 8.4 MOVING ABOUT Worksheet Velocity Time Graphs 8.4.1.C Set 1 Drawing velocitytime graphs 1. The table below is a table of data from an experiment measuring the! variation of speed
More informationMotion Graphs. It is said that a picture is worth a thousand words. The same can be said for a graph.
Motion Graphs It is said that a picture is worth a thousand words. The same can be said for a graph. Once you learn to read the graphs of the motion of objects, you can tell at a glance if the object in
More information2.3 Acceleration. Acceleration. Chapter 2
The speed of things is always changing. Your car speeds up and slows down. If you slow down gradually, it feels very different from slamming on the brakes and stopping fast. In this section we will learn
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 informationChapter 2  Representing Motion w./ QuickCheck Questions
Chapter 2  Representing Motion w./ QuickCheck Questions 2015 Pearson Education, Inc. Anastasia Ierides Department of Physics and Astronomy University of New Mexico August 27, 2015 Review of Last Time
More information2After completing this chapter you should be able to
After completing this chapter you should be able to solve problems involving motion in a straight line with constant acceleration model an object moving vertically under gravity understand distance time
More informationFocused Learning Lesson Science Grades 912 PSHE2
Focused Learning Lesson Science Grades 912 PSHE2 Overview: This lesson is designed to review the basic relationships of speed, velocity, and acceleration. During the lesson, students will review the
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 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 informationPhysics: Principles and Applications, 6e Giancoli Chapter 2 Describing Motion: Kinematics in One Dimension
Physics: Principles and Applications, 6e Giancoli Chapter 2 Describing Motion: Kinematics in One Dimension Conceptual Questions 1) Suppose that an object travels from one point in space to another. Make
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 information8. As a cart travels around a horizontal circular track, the cart must undergo a change in (1) velocity (3) speed (2) inertia (4) weight
1. What is the average speed of an object that travels 6.00 meters north in 2.00 seconds and then travels 3.00 meters east in 1.00 second? 9.00 m/s 3.00 m/s 0.333 m/s 4.24 m/s 2. What is the distance traveled
More information1. How long does it take the sound of thunder to go 1,600 meters (~1 mile) traveling at an average speed of 330 meters / sec? (4.
LHWHS Physics Unit One  Motion (Kinematics) HW #2...Sept 9 NAME ANSWERS 1. How long does it take the sound of thunder to go 1,600 meters (~1 mile) traveling at an average speed of 330 meters / sec? (4.85
More informationPlot the following two points on a graph and draw the line that passes through those two points. Find the rise, run and slope of that line.
Objective # 6 Finding the slope of a line Material: page 117 to 121 Homework: worksheet NOTE: When we say line... we mean straight line! Slope of a line: It is a number that represents the slant of a line
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 2048 Test 1 Solution (solutions to problems 25 are from student papers) Problem 1 (Short Answer: 20 points)
Physics 248 Test 1 Solution (solutions to problems 25 are from student papers) Problem 1 (Short Answer: 2 points) An object's motion is restricted to one dimension along the distance axis. Answer each
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 informationElements of a graph. Click on the links below to jump directly to the relevant section
Click on the links below to jump directly to the relevant section Elements of a graph Linear equations and their graphs What is slope? Slope and yintercept in the equation of a line Comparing lines on
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 informationPhysics Lecture 3 (Walker: 2.46) Velocity and Acceleration Sept. 2, 2009
Physics 111.01 Lecture 3 (Walker: 2.46) Velocity and Acceleration Sept. 2, 2009 1 Uniorm Velocity Uniorm Velocity Uniorm velocity is constant velocity Both the size and the direction o the velocity are
More informationExample SECTION 131. XAXIS  the horizontal number line. YAXIS  the vertical number line ORIGIN  the point where the xaxis and yaxis cross
CHAPTER 13 SECTION 131 Geometry and Algebra The Distance Formula COORDINATE PLANE consists of two perpendicular number lines, dividing the plane into four regions called quadrants XAXIS  the horizontal
More informationWorksheet 1. What You Need to Know About Motion Along the xaxis (Part 1)
Worksheet 1. What You Need to Know About Motion Along the xaxis (Part 1) In discussing motion, there are three closely related concepts that you need to keep straight. These are: If x(t) represents the
More informationMotion: Velocity and Net Change
math 3, applications motion: velocity net change Motion: Velocity Net Change In Calculus I you interpreted the first second derivatives as velocity acceleration in the context of motion So let s apply
More informationNewton s Laws Quiz Review
Newton s Laws Quiz Review Name Hour To be properly prepared for this quiz you should be able to do the following: 1) state each of Newton s three laws of motion 2) pick out examples of the three laws from
More informationWhy should we learn this? One realworld connection is to find the rate of change in an airplane s altitude. The Slope of a Line VOCABULARY
Wh should we learn this? The Slope of a Line Objectives: To find slope of a line given two points, and to graph a line using the slope and the intercept. One realworld connection is to find the rate
More informationSPEED / Velocity / Acceleration
SPEED / Velocity / Acceleration Calculating Speed with Roller Cars Part A NAME Per Due date Mail Box 1 P a g e Speed  Until the 1950s, the land speed record was held by a series of European gentlemen
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 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 informationWorksheet 7: Velocity and Acceleration
Science 10 Worksheet 7: Velocity and Acceleration Additional Practice Questions Directions: Select the best answer for each of the following questions. Answers are found at the end of this document. Physical
More informationGRAPHING (2 weeks) Main Underlying Questions: 1. How do you graph points?
GRAPHING (2 weeks) The Rectangular Coordinate System 1. Plot ordered pairs of numbers on the rectangular coordinate system 2. Graph paired data to create a scatter diagram 1. How do you graph points? 2.
More informationChapter 3 Solutions. Figure 3.7a. (b) Thus (c) velocity: At. Figure 3.7b
Chapter 3 Solutions 3.7.IDENTIFY and Use Eqs. (3.4) and (3.12) to find and as functions of time. The magnitude and direction of and can be found once we know their components. (a) Calculate x and y for
More informationPhysics 1010: The Physics of Everyday Life. TODAY Velocity, Acceleration 1D motion under constant acceleration Newton s Laws
Physics 11: The Physics of Everyday Life TODAY, Acceleration 1D motion under constant acceleration Newton s Laws 1 VOLUNTEERS WANTED! PHET, The PHysics Educational Technology project, is looking for students
More informationKEY NNHS Introductory Physics: MCAS Review Packet #1 Introductory Physics, High School Learning Standards for a Full FirstYear Course
Introductory Physics, High School Learning Standards for a Full FirstYear Course I. C O N T E N T S T A N D A R D S Central Concept: Newton s laws of motion and gravitation describe and predict the motion
More informationA Determination of g, the Acceleration Due to Gravity, from Newton's Laws of Motion
A Determination of g, the Acceleration Due to Gravity, from Newton's Laws of Motion Objective In the experiment you will determine the cart acceleration, a, and the friction force, f, experimentally for
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 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 information2.4 Motion and Integrals
2 KINEMATICS 2.4 Motion and Integrals Name: 2.4 Motion and Integrals In the previous activity, you have seen that you can find instantaneous velocity by taking the time derivative of the position, and
More informationAmy Dueger I2T2 Final Project Summer
Amy Dueger I2T2 Final Project Summer 2005 Email akilmer@nfschools.net DAY 1 PARABOLAS Objective: Students will be introduced to: ~ what a parabola is ~ the equation of a parabola ~ various terms that
More informationExampro GCSE Physics. P2 Foundation  Forces and their effects Self Study Questions. Name: Class: Author: Date: Time: 125. Marks: 125.
Exampro GCSE Physics P2 Foundation  Forces and their effects Self Study Questions Name: Class: Author: Date: Time: 25 Marks: 25 Comments: Page of 44 Q. (a) Figure shows the horizontal forces acting on
More informationLesson 8: Velocity. Displacement & Time
Lesson 8: Velocity Two branches in physics examine the motion of objects: Kinematics: describes the motion of objects, without looking at the cause of the motion (kinematics is the first unit of Physics
More informationLinear and angular kinematics
Linear and angular kinematics How far? Describing change in linear or angular position Distance (scalar): length of path Displacement (vector): difference between starting and finishing positions; independent
More informationUnit 4 Physical Science: Motion
Unit 4 SCIENCE 1206 CURRICULUM GUIDE 91 Unit Overview Introduction The concept of motion allows students to investigate and develop their interest in the sports that are part of their daily lives. Students
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 Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE
1 P a g e Motion Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE If an object changes its position with respect to its surroundings with time, then it is called in motion. Rest If an object
More informationSpeed, Velocity, Acceleration
Speed, Velocity, Acceleration PreTest  PostTest 1. What two measurements are necessary for calculating average speed? a. acceleration and time c. velocity and time 2. How is velocity different than
More information2.7. The straight line. Introduction. Prerequisites. Learning Outcomes. Learning Style
The straight line 2.7 Introduction Probably the most important function and graph that you will use are those associated with the straight line. A large number of relationships between engineering variables
More informationUnit 1 Our Dynamic Universe
North Berwick High School Higher Physics Department of Physics Unit 1 Our Dynamic Universe Section 1 Equations of Motion Section 1 Equations of Motion Note Making Make a dictionary with the meanings of
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 information2 Representing Motion
CHAPTER 2 Representing Motion Section Review 2.1 Picturing Motion pages 31 33 page 33 1. Motion Diagram of a Runner Use the particle model to draw a motion diagram for a bike rider riding at a constant
More informationChapter 4. Kinematics  Velocity and Acceleration. 4.1 Purpose. 4.2 Introduction
Chapter 4 Kinematics  Velocity and Acceleration 4.1 Purpose In this lab, the relationship between position, velocity and acceleration will be explored. In this experiment, friction will be neglected.
More information1. OneDimensional Kinematics Tutorial 1
1. OneDimensional Kinematics Tutorial 1 1.1 Referring to Figure 1.1, you walk from your home to the library, then to the park. (a) What is the distance traveled? (b) What is your displacement? (1.95mi,
More informationMOTION DIAGRAMS. Revised 9/051  LC, tlo
MOTION DIAGRAMS When first applying kinematics (motion) principles, there is a tendency to use the wrong kinematics quantity  to inappropriately interchange quantities such as position, velocity, and
More informationDo Now. How do you know if an object is in motion?
Do Now How do you know if an object is in motion? Speed, Velocity, and Acceleration To describe motion accurately and completely, a frame of reference is needed. An object is in motion if it changes position
More informationGraphing Linear Equations
Graphing Linear Equations I. Graphing Linear Equations a. The graphs of first degree (linear) equations will always be straight lines. b. Graphs of lines can have Positive Slope Negative Slope Zero slope
More informationGRAPHING LINEAR EQUATIONS IN TWO VARIABLES
GRAPHING LINEAR EQUATIONS IN TWO VARIABLES The graphs of linear equations in two variables are straight lines. Linear equations may be written in several forms: SlopeIntercept Form: y = mx+ b In an equation
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 informationGround Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. Dr Tay Seng Chuan
Ground Rules PC11 Fundamentals of Physics I Lectures 3 and 4 Motion in One Dimension Dr Tay Seng Chuan 1 Switch off your handphone and pager Switch off your laptop computer and keep it No talking while
More informationChapter 2 Describing Motion: Kinematics in One Dimension
Chapter 2 Describing Motion: Kinematics in One Dimension Introduction Reference Frames and Displacement Average Velocity Instantaneous Velocity Acceleration Motion at Constant Acceleration Falling Objects
More informationLecture 2. Displacement. Speed. Average velocity. Instantaneous velocity. Gravity and acceleration. Cutnell+Johnson: chapter 2
Lecture 2 Displacement Speed Average velocity Instantaneous velocity Gravity and acceleration Cutnell+Johnson: chapter 2 Most physics classes start by studying the laws describing how things move around.
More informationENGINEERING COUNCIL DYNAMICS OF MECHANICAL SYSTEMS D225 TUTORIAL 1 LINEAR AND ANGULAR DISPLACEMENT, VELOCITY AND ACCELERATION
ENGINEERING COUNCIL DYNAMICS OF MECHANICAL SYSTEMS D225 TUTORIAL 1 LINEAR AND ANGULAR DISPLACEMENT, VELOCITY AND ACCELERATION This tutorial covers prerequisite material and should be skipped if you are
More informationProblem 12.33. s s o v o t 1 2 a t2. Ball B: s o 0, v o 19 m s, a 9.81 m s 2. Apply eqn. 125: When the balls pass each other: s A s B. t 2.
ENPH 131 Assignment # Solutions Tutorial Problem (Rocket Height) A rocket, initially at rest on the ground, accelerates straight upward with a constant acceleration of 3. m s. The rocket accelerates for
More informationCHAPTER We find the average speed from average speed = d/t = (230 km)/(3.25 h) =
CHAPTER 1. We find the average speed from average speed = d/t = (30 km)/(3.5 h) = 70.8 km/h.. We find the time from average speed = d/t; 5 km/h = (15 km)/t, which gives t = 0.60 h (36 min). 3. We find
More informationPhysics Midterm Review Packet January 2010
Physics Midterm Review Packet January 2010 This Packet is a Study Guide, not a replacement for studying from your notes, tests, quizzes, and textbook. Midterm Date: Thursday, January 28 th 8:1510:15 Room:
More informationMechanics 1. Revision Notes
Mechanics 1 Revision Notes July 2012 MECHANICS 1... 2 1. Mathematical Models in Mechanics... 2 Assumptions and approximations often used to simplify the mathematics involved:... 2 2. Vectors in Mechanics....
More informationConceptual Questions: Forces and Newton s Laws
Conceptual Questions: Forces and Newton s Laws 1. An object can have motion only if a net force acts on it. his statement is a. true b. false 2. And the reason for this (refer to previous question) is
More informationhttp://www.webassign.net/v4cgikchowdary@evergreen/assignments/prev... 1 of 10 7/29/2014 7:28 AM 2 of 10 7/29/2014 7:28 AM
HW1 due 6 pm Day 3 (Wed. Jul. 30) 2. Question Details OSColPhys1 2.P.042.Tutorial.WA. [2707433] Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 (a) The graph below plots the position versus time
More information