Instructions. To run the slideshow:

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Instructions. To run the slideshow:"

Transcription

1 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.

2 Monkey and Hunter - Projectile Motion KS5

3 Monkey and Hunter A hunter is trying to shoot a monkey hanging from a tree branch. (With a mild sedative) The Hunter knows that in order to avoid the bullet the monkey will let go of the branch the second the trigger is pulled. Where should the Hunter aim in order to hit the monkey?

4 Projectiles. In this problem both the falling monkey and the fired bullet can be considered as projectiles. The exam board definition of a projectile is: Any object thrown in the Earth s gravitational field.

5 More on Projectiles: Dictionary Definition: n. A fired, thrown, or otherwise propelled object, such as a bullet, having no capacity for self-propulsion. A projectile is an object on which the primary force acting is the force due to gravity. In most exam questions air resistance is considered negligible and so we can treat any object moving through the air on Earth as a projectile. (provided it is not self propelled).

6 A simple projectile: The monkey in this problem is a very simple projectile. 1. Its motion is only in the vertical plane. 2. It travels in only one direction. Given that the monkey is experiencing a constant acceleration (g) we can apply the equations of motion to model the path of the monkey.

7 The monkey We know that the monkey starts from rest: u=0ms -1 We know the acceleration of the monkey: a=9.81ms -2 s = (u + v) 2 t s = ut at2 v 2 = u 2 + 2as Given any other variable we can now use the equations of motion in the usual way.

8 Example The monkey is hanging 4m from the ground. s = (u + v) 2 t Calculate how long it will take for it to land on the floor. s = ut at2 v 2 = u 2 + 2as

9 Solution The monkey is hanging 4m from the ground. Calculate how long it will take for it to land on the floor. o Select the most suitable equation: s = ut at2 s = (u + v) 2 t o Rearrange and substitute in the values: s = ut at2 v 2 = u 2 + 2as s = 1 2 at2 2s a = t t = 0.9s

10 4.5 In detail The graphic on the left shows the position of the monkey plotted at 0.2s intervals It is clear that the distance travelled in each 0.2s interval increases as the monkey falls to the ground This result should not be surprising as the acceleration of the monkey is constant. 0

11 The hunter s bullet The bullet is a slightly more complicated problem. For ease we will consider a bullet fired horizontally. We now have an object that is travelling in both a horizontal and vertical direction.

12 Horizontally s H Looking at the horizontal displacement s H we can see that for each time interval the displacement is constant. This implies a constant velocity and zero acceleration. (this is only true for negligible air resistance) Use the equation v = s t 0

13 Vertically s v Looking at the vertical displacement s v we can see that for each time interval the displacement is increasing. This implies an increasing velocity as would be expected with an acceleration (g). Use the equations of motion.

14 For any projectile: If we resolve the initial velocity into horizontal and vertical components we can treat the two independently. (This is true of any perpendicular components of a vector) Horizontally u = Horizontal component of initial velocity. a = 0 v = u (as acceleration is 0) Use v = s t Vertically u = Vertical component of initial velocity. a = 9.81ms -2 Use the equations of motion

15 Monkey and hunter. Assuming the bullet is fired horizontally at the monkey and calculating vertical displacement for each: Monkey s = ut at2 u = 0 a = 9.81ms 2 s = 4.9t 2 Hunter s = ut at2 u = 0 a = 9.81ms 2 s = 4.9t 2 Because for the bullet the vertical motion is independent of the horizontal motion, we have the same vertical solution for both the bullet and the monkey.

16 Where should the hunter aim? Given the previous information. Where should the hunter aim to ensure that he hits the monkey?

17 Monkey and Hunter The monkey is held aloft by a small electromagnet. As the bullet is fired a switch is triggered which releases the monkey.

18 Monkey and Hunter Regardless of height, initial velocity or distance between them, if the hunter aims directly at the monkey, and the monkey lets go at the time the bullet is fired. The hunter will always hit the monkey. The only exception to this is if the horizontal velocity of the bullet is small enough to allow the monkey to reach the ground. In this case the bullet will hit the ground harmlessly between the monkey and the hunter.

19 Graphically Plotting the vertical motion of both the bullet and the monkey on the same axis shows clearly that the bullet will always hit the monkey

20 More on projectiles A classic projectile is not fired horizontally but at an angle to the ground:

21 The path that the projectile takes is called its trajectory. It follows a mathematical shape called a parabola. Trajectory In this instance the projectile is moving both horizontally and vertically. It is also travelling initially in the positive x direction and then in the negative x direction. It is important now to pay particular attention to sign conventions.

22 Example 1 Another simple projectile question. A ball is thrown vertically into the air with an initial velocity of 20ms -1 Calculate the maximum height of the ball.

23 Solution 1 Another simple projectile question. A ball is thrown vertically into the air with an initial velocity of 20ms -1 Calculate the maximum height of the ball. v 2 = u 2 + 2as 0 = s u = 20ms -1 v = 0 a = -9.81ms -2 s = 0 = s s = = 20.4m

24 Example 2 A cannon ball is launched with an initial velocity of 50ms -1 at an angle of 30 0 to the horizontal. Calculate the range of the cannonball. (The range is the maximum horizontal distance travelled) (Hint: time t will be the same for the horizontal and vertical motion)

25 Solution 2 First resolve the velocity into horizontal and vertical components: u v = 50sin30 u h = 50cos30 Taking vertical motion first: s = ut at2 0 = ut at2 s = 0 (ball will return to the ground) u = 50sin30 a = -9.81ms -2 t = ut = 1 2 at2 2u = t = 5.1s 9.81

26 Solution 2 Cont. Taking motion horizontally: s = ut s = 50cos s = u = 50cos30ms -1 a = 0 (horizontal a = 0) t = 5.1s s = 220m

The quest to find how x(t) and y(t) depend on t is greatly simplified by the following facts, first discovered by Galileo:

The 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 information

Projectile Motion 1:Horizontally Launched Projectiles

Projectile 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 information

physics 111N motion in a plane

physics 111N motion in a plane physics 111N motion in a plane position & displacement vectors ym! the position vector points from the origin to the object t2.83 s 15 10 5 0 5 10 15 xm we re plotting the plane (e.g. billiard table viewed

More information

Projectile Motion - Worksheet

Projectile 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 information

CHAPTER 4 Motion in 2D and 3D

CHAPTER 4 Motion in 2D and 3D General Physics 1 (Phys : Mechanics) CHAPTER 4 Motion in 2D and 3D Slide 1 Revision : 2. Displacement vector ( r): 1. Position vector (r): r t = x t i + y t j + z(t)k Particle s motion in 2D Position vector

More information

Projectile Motion Vocabulary

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 information

Physics Unit 2: Projectile Motion

Physics Unit 2: Projectile Motion Physics Unit 2: Projectile Motion Jan 31 10:07 AM What is a projectile? A projectile is an object that is launched, or projected, by some means and continues on its own inertia. The path of the projectile

More information

Projectile motion simulator. http://www.walter-fendt.de/ph11e/projectile.htm

Projectile motion simulator. http://www.walter-fendt.de/ph11e/projectile.htm More Chapter 3 Projectile motion simulator http://www.walter-fendt.de/ph11e/projectile.htm The equations of motion for constant acceleration from chapter 2 are valid separately for both motion in the x

More information

5.1 Vector and Scalar Quantities. A vector quantity includes both magnitude and direction, but a scalar quantity includes only magnitude.

5.1 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 straight-line motion linear motion. Now we extend these ideas to

More information

2008 FXA DERIVING THE EQUATIONS OF MOTION 1. Candidates should be able to :

2008 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 velocity-time graph. Select and use the equations of motion for constant acceleration in

More information

The quest to find how x(t) and y(t) depend on t is greatly simplified by the following facts, first discovered by Galileo:

The 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 information

1206EL - Concepts in Physics. Friday, September 18th

1206EL - Concepts in Physics. Friday, September 18th 1206EL - Concepts in Physics Friday, September 18th Notes There is a WebCT course for students on September 21st More information on library webpage Newton s second law Newton's first law of motion predicts

More information

PSI AP Physics B Kinematics Multiple-Choice Questions

PSI AP Physics B Kinematics Multiple-Choice Questions PSI AP Physics B Kinematics Multiple-Choice 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 information

Projectile Motion. directions simultaneously. deal with is called projectile motion. ! An object may move in both the x and y

Projectile Motion. directions simultaneously. deal with is called projectile motion. ! An object may move in both the x and y Projectile Motion! An object may move in both the x and y directions simultaneously! The form of two-dimensional motion we will deal with is called projectile motion Assumptions of Projectile Motion! The

More information

Projectile Motion Introduction:

Projectile 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 information

B) 286 m C) 325 m D) 367 m Answer: B

B) 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 information

Chapter 3 Kinematics in Two or Three Dimensions; Vectors. Copyright 2009 Pearson Education, Inc.

Chapter 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 information

Vectors; 2-D Motion. Part I. Multiple Choice. 1. v

Vectors; 2-D Motion. Part I. Multiple Choice. 1. v This test covers vectors using both polar coordinates and i-j notation, radial and tangential acceleration, and two-dimensional motion including projectiles. Part I. Multiple Choice 1. v h x In a lab experiment,

More information

People s Physics book

People 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 information

Chapter 3 Falling Objects and Projectile Motion

Chapter 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 information

MOTION (Chapter 2) Student Learning Objectives 2/11/2016. Compare and contrast terms used to describe motion Analyze circular and parabolic motion

MOTION (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=oxc-hhqldbe Student Learning Objectives Compare and contrast terms used to describe motion Analyze circular and parabolic motion PHYSICS:THE MOST FUNDAMENTAL

More information

Projectile Motion. Equations of Motion for Constant Acceleration

Projectile Motion. Equations of Motion for Constant Acceleration Projectile Motion Projectile motion is a special case of two-dimensional motion. A particle moving in a vertical plane with an initial velocity and experiencing a free-fall (downward) acceleration, displays

More information

Motion in Space: Velocity and Acceleration

Motion in Space: Velocity and Acceleration Study Sheet (13.4) Motion in Space: Velocity and Acceleration Here, we show how the ideas of tangent and normal vectors and curvature can be used in physics to study: The motion of an object, including

More information

Projectiles Problem Solving Constant velocity: x=d=vt

Projectiles 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 information

Speed A B C. Time. Chapter 3: Falling Objects and Projectile Motion

Speed 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 information

Equations of Motion Introduction: Objectives: Methods:

Equations of Motion Introduction: Objectives: Methods: Equations of Motion Introduction: The equations of motion are used to describe various components of a moving object. Displacement, velocity, time and acceleration are the kinematic variables that can

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Vector A has length 4 units and directed to the north. Vector B has length 9 units and is directed

More information

Projectile motion Mathematics IA

Projectile motion Mathematics IA Projectile motion Mathematics IA Introduction Projectile motion is the motion of an object that is moving in air and experiences the force of gravity. 1 My interest in the topic of projectile motion stemmed

More information

Lab 5: Projectile Motion

Lab 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 information

James T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Omar Torres. Chapter 2 Motion Cengage Learning

James T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Omar Torres. Chapter 2 Motion Cengage Learning James T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Omar Torres Chapter 2 Motion Defining Motion Motion is a continuous change in position can be described by measuring the rate of change of position

More information

What assumptions are being made by modelling an object as a projectile? Time (t seconds)

What 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 information

Lecture PowerPoints. Chapter 3 Physics: Principles with Applications, 6 th edition Giancoli

Lecture 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 information

Chapter 4 Two-Dimensional Kinematics

Chapter 4 Two-Dimensional Kinematics Chapter 4 Two-Dimensional Kinematics Units of Chapter 4 Motion in Two Dimensions Projectile Motion: Basic Equations Zero Launch Angle General Launch Angle Projectile Motion: Key Characteristics 1 4-1 Motion

More information

Exam 1 Review Questions PHY 2425 - Exam 1

Exam 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 information

Projectile Motion. Pre-lab Assignment. Pre-lab Questions and Exercises. Introduction. Projectile Motion

Projectile Motion. Pre-lab Assignment. Pre-lab Questions and Exercises. Introduction. Projectile Motion Projectile Motion Pre-lab Assignment Derive algebraic expressions for the range and total time-of-flight of a projectile launched with initial speed v o from a height h at an angle above horizontal. Hint:

More information

Chapter 4. Motion in two & three dimensions

Chapter 4. Motion in two & three dimensions Chapter 4 Motion in two & three dimensions 4.2 Position and Displacement Position The position of a particle can be described by a position vector, with respect to a reference origin. Displacement The

More information

PH2213 : Examples from Chapter 4 : Newton s Laws of Motion. Key Concepts

PH2213 : Examples from Chapter 4 : Newton s Laws of Motion. Key Concepts PH2213 : Examples from Chapter 4 : Newton s Laws of Motion Key Concepts Newton s First and Second Laws (basically Σ F = m a ) allow us to relate the forces acting on an object (left-hand side) to the motion

More information

A Review of Vector Addition

A Review of Vector Addition Motion and Forces in Two Dimensions Sec. 7.1 Forces in Two Dimensions 1. A Review of Vector Addition. Forces on an Inclined Plane 3. How to find an Equilibrant Vector 4. Projectile Motion Objectives Determine

More information

Q3.1. A. 100 m B. 200 m C. 600 m D m. 500 m. 400 m. 300 m Pearson Education, Inc.

Q3.1. A. 100 m B. 200 m C. 600 m D m. 500 m. 400 m. 300 m Pearson Education, Inc. Q3.1 P 400 m Q A bicyclist starts at point P and travels around a triangular path that takes her through points Q and R before returning to point P. What is the magnitude of her net displacement for the

More information

Yimin Math Centre. 2/3 Unit Math Homework for Year Motion Part Simple Harmonic Motion The Differential Equation...

Yimin Math Centre. 2/3 Unit Math Homework for Year Motion Part Simple Harmonic Motion The Differential Equation... 2/3 Unit Math Homework for Year 12 Student Name: Grade: Date: Score: Table of contents 9 Motion Part 3 1 9.1 Simple Harmonic Motion The Differential Equation................... 1 9.2 Projectile Motion

More information

Ballistics Car P3-3527

Ballistics Car P3-3527 WWW.ARBORSCI.COM Ballistics Car P3-3527 BACKGROUND: The Ballistic Car demonstrates that the horizontal motion of an object is unaffected by forces which act solely in the vertical direction. It consists

More information

Summary Notes. to avoid confusion it is better to write this formula in words. time

Summary 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 information

Motion Lesson 1: Review of Basic Motion

Motion Lesson 1: Review of Basic Motion Motion in one and two dimensions: Lesson 1 Semi-notes 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 information

CHAPTER 6 WORK AND ENERGY

CHAPTER 6 WORK AND ENERGY CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS. REASONING AND SOLUTION The work done by F in moving the box through a displacement s is W = ( F cos 0 ) s= Fs. The work done by F is W = ( F cos θ). s From

More information

Section 10.4: Motion in Space: Velocity and Acceleration

Section 10.4: Motion in Space: Velocity and Acceleration 1 Section 10.4: Motion in Space: Velocity and Acceleration Velocity and Acceleration Practice HW from Stewart Textbook (not to hand in) p. 75 # 3-17 odd, 1, 3 Given a vector function r(t ) = f (t) i +

More information

One-Dimensional Kinematics

One-Dimensional Kinematics One-Dimensional Kinematics Copyright 2010 Pearson Education, Inc. Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications

More information

Lesson 36 MA 152, Section 3.1

Lesson 36 MA 152, Section 3.1 Lesson 36 MA 5, Section 3. I Quadratic Functions A quadratic function of the form y = f ( x) = ax + bx + c, where a, b, and c are real numbers (general form) has the shape of a parabola when graphed. The

More information

Experiment 2 Free Fall and Projectile Motion

Experiment 2 Free Fall and Projectile Motion Name Partner(s): Experiment 2 Free Fall and Projectile Motion Objectives Preparation Pre-Lab Learn how to solve projectile motion problems. Understand that the acceleration due to gravity is constant (9.8

More information

Chapter 10: Topics in Analytic Geometry

Chapter 10: Topics in Analytic Geometry Chapter 10: Topics in Analytic Geometry 10.1 Parabolas V In blue we see the parabola. It may be defined as the locus of points in the plane that a equidistant from a fixed point (F, the focus) and a fixed

More information

Maximum Range Explained range Figure 1 Figure 1: Trajectory Plot for Angled-Launched Projectiles Table 1

Maximum Range Explained range Figure 1 Figure 1: Trajectory Plot for Angled-Launched Projectiles Table 1 Maximum Range Explained A projectile is an airborne object that is under the sole influence of gravity. As it rises and falls, air resistance has a negligible effect. The distance traveled horizontally

More information

Chapter 3 Practice Test

Chapter 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 information

UNIVERSITY OF ALABAMA Department of Physics and Astronomy. PH 125 / LeClair Spring Problem Set 2

UNIVERSITY OF ALABAMA Department of Physics and Astronomy. PH 125 / LeClair Spring Problem Set 2 UNIVERSITY OF ALABAMA Department of Physics and Astronomy PH 125 / LeClair Spring 2009 Instructions: Problem Set 2 1. Answer all questions below. Follow the problem-solving template provided. 2. Some problems

More information

Phys 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, 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 information

Motion in One-Dimension

Motion in One-Dimension This test covers one-dimensional 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 information

Chapter 3 Solutions. Figure 3.7a. (b) Thus (c) velocity: At. Figure 3.7b

Chapter 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 information

Catapult Engineering Pilot Workshop. LA Tech STEP 2007-2008

Catapult Engineering Pilot Workshop. LA Tech STEP 2007-2008 Catapult Engineering Pilot Workshop LA Tech STEP 2007-2008 Some Background Info Galileo Galilei (1564-1642) did experiments regarding Acceleration. He realized that the change in velocity of balls rolling

More information

PHY121 #8 Midterm I 3.06.2013

PHY121 #8 Midterm I 3.06.2013 PHY11 #8 Midterm I 3.06.013 AP Physics- Newton s Laws AP Exam Multiple Choice Questions #1 #4 1. When the frictionless system shown above is accelerated by an applied force of magnitude F, the tension

More information

Mechanics 1. Revision Notes

Mechanics 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 information

Web review - Ch 3 motion in two dimensions practice test

Web 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 information

8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential

8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential 8. Potential Energy and Conservation of Energy Potential Energy: When an object has potential to have work done on it, it is said to have potential energy, e.g. a ball in your hand has more potential energy

More information

Projectile Motion. Bởi: OpenStaxCollege

Projectile Motion. Bởi: OpenStaxCollege Projectile Motion Bởi: OpenStaxCollege Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and

More information

III. Applications of Force and Motion Concepts. Concept Review. Conflicting Contentions. 1. Airplane Drop 2. Moving Ball Toss 3. Galileo s Argument

III. Applications of Force and Motion Concepts. Concept Review. Conflicting Contentions. 1. Airplane Drop 2. Moving Ball Toss 3. Galileo s Argument III. Applications of Force and Motion Concepts Concept Review Conflicting Contentions 1. Airplane Drop 2. Moving Ball Toss 3. Galileo s Argument Qualitative Reasoning 1. Dropping Balls 2. Spinning Bug

More information

Physics 160 Biomechanics. Projectiles

Physics 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 shot-put, long jump

More information

Unit 1: Vectors. a m/s b. 8.5 m/s c. 7.2 m/s d. 4.7 m/s

Unit 1: Vectors. a m/s b. 8.5 m/s c. 7.2 m/s d. 4.7 m/s Multiple Choice Portion 1. A boat which can travel at a speed of 7.9 m/s in still water heads directly across a stream in the direction shown in the diagram above. The water is flowing at 3.2 m/s. What

More information

Teaching Time: Projectiles

Teaching Time: Projectiles 27206_U04L18_184-195.indd Page a184 8/14/07 7:52:28 PM user /Volumes/ju104/BIP00001/BIP00001indd%0/Unit 4 27206_U04L18_184-195.indd Page a185 8/14/07 7:52:28 PM user /Volumes/ju104/BIP00001/BIP00001indd%0/Unit

More information

Principles and Laws of Motion

Principles and Laws of Motion 2009 19 minutes Teacher Notes: Ian Walter DipAppChem; TTTC; GDipEdAdmin; MEdAdmin (part) Program Synopsis This program begins by looking at the different types of motion all around us. Forces that cause

More information

Projectile Motion. y - y o = v oy t - (1/2)gt 2 [2]

Projectile Motion. y - y o = v oy t - (1/2)gt 2 [2] Projectile Motion In this experiment we will study motion in two-dimensions. An object which has motion in both the X and Y direction has a two dimensional motion. We will first determine at what velocity

More information

Journal of Engineering Science and Technology Review 2 (1) (2009) 76-81. Lecture Note

Journal of Engineering Science and Technology Review 2 (1) (2009) 76-81. Lecture Note Journal of Engineering Science and Technology Review 2 (1) (2009) 76-81 Lecture Note JOURNAL OF Engineering Science and Technology Review www.jestr.org Time of flight and range of the motion of a projectile

More information

Physics Midterm Review Packet January 2010

Physics 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 8:15-10:15 Room:

More information

Motion in Two Dimensions

Motion in Two Dimensions Motion in Two Dimensions 1. The position vector at t i is r i and the position vector at t f is r f. The average velocity of the particle during the time interval is a.!!! ri + rf v = 2 b.!!! ri rf v =

More information

A scalar quantity is fully described by its magnitude (size) and unit, e.g. time = 220 s. Force = 800 N upwards direction

A 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 information

2 Mechanics. Kinematics. Displacement and distance 2.1

2 Mechanics. Kinematics. Displacement and distance 2.1 2 Mechanics 2.1 Kinematics Assessment statements 2.1.1 Define displacement, velocity, speed and acceleration. 2.1.2 Explain the difference between instantaneous and average values of speed, velocity and

More information

2. (P2.1 A) a) A car travels 150 km in 3 hours, what is the cars average speed?

2. (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 information

Projectile Motion & Conservation of Energy

Projectile Motion & Conservation of Energy Projectile Motion & Conservation of Energy Equipment Qty Item Part Number 1 Mini Launcher ME-6800 1 Metal Sphere Projectile 1 and 2 Meter Sticks 1 Large Metal Rod ME-8741 1 Small Metal Rod ME-8736 1 Support

More information

PHYSICS MIDTERM REVIEW

PHYSICS 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 information

Physics Kinematics Model

Physics 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 information

Uniformly Accelerated Motion

Uniformly Accelerated Motion Uniformly Accelerated Motion Under special circumstances, we can use a series of three equations to describe or predict movement V f = V i + at d = V i t + 1/2at 2 V f2 = V i2 + 2ad Most often, these equations

More information

Physics 125 Practice Exam #3 Chapters 6-7 Professor Siegel

Physics 125 Practice Exam #3 Chapters 6-7 Professor Siegel Physics 125 Practice Exam #3 Chapters 6-7 Professor Siegel Name: Lab Day: 1. A concrete block is pulled 7.0 m across a frictionless surface by means of a rope. The tension in the rope is 40 N; and the

More information

Projectile Motion. AP Physics B

Projectile Motion. AP Physics B Projectile Motion AP Physics B What is projectile? Projectile -Any object which projected by some means and continues to moe due to its own inertia (mass). Projectiles moe in TWO dimensions Since a projectile

More information

1) 25 m. 2) 45 m. 3) 75 m. 4) 90 m. 5) 150 m. 1) 4 s. 2) 5 s. 3) 6 s. 4) 7 s. 5) 8 s. 1) 50 m. 2) 60 m. 3) 150 m. 4) 180 m.

1) 25 m. 2) 45 m. 3) 75 m. 4) 90 m. 5) 150 m. 1) 4 s. 2) 5 s. 3) 6 s. 4) 7 s. 5) 8 s. 1) 50 m. 2) 60 m. 3) 150 m. 4) 180 m. Base your answers to questions 1 and 2 on the followin information. An object is thrown off a cliff above level round with an initial horizontal velocity of 15 m/s. It takes 4 seconds for the object to

More information

TWO DIMENSIONAL VECTORS AND MOTION

TWO DIMENSIONAL VECTORS AND MOTION TWO DIMENSIONAL VECTORS AND MOTION 1. Two nonzero vectors have unequal magnitudes of X and Y. Which of the following could be the length of their sum? (i) 0 (ii) X+Y (iii) X (iv) Y a. (i), (iii), and (iv)

More information

CS100B Fall 1999. Professor David I. Schwartz. Programming Assignment 5. Due: Thursday, November 18 1999

CS100B Fall 1999. Professor David I. Schwartz. Programming Assignment 5. Due: Thursday, November 18 1999 CS100B Fall 1999 Professor David I. Schwartz Programming Assignment 5 Due: Thursday, November 18 1999 1. Goals This assignment will help you develop skills in software development. You will: develop software

More information

Exam #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 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 counter-clockwise direction, as indicated in

More information

Projectile Motion. By: OpenStax College. Online:

Projectile Motion. By: OpenStax College. Online: <http://cnx.org/content/m42042/1.10/> Projectile Motion By: OpenStax College Online: This module is copyrig hted by Rice University. It is licensed under the Creative Commons Attribution License: http://creativecommons.org/licenses/by/3.0/

More information

Described by Isaac Newton

Described by Isaac Newton Described by Isaac Newton States observed relationships between motion and forces 3 statements cover aspects of motion for single objects and for objects interacting with another object An object at rest

More information

AP Physics Energy and Springs

AP Physics Energy and Springs AP Physics Energy and Springs Another major potential energy area that AP Physics is enamored of is the spring (the wire coil deals, not the ones that produce water for thirsty humanoids). Now you ve seen

More information

2) When you look at the speedometer in a moving car, you can see the car's.

2) 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 information

Problem Set 6: Solutions

Problem Set 6: Solutions UNIVERSITY OF ALABAMA Department of Physics and Astronomy PH 15 / LeClair Spring 009 Problem Set 6: Solutions Solutions not yet completed: Halliday, Resnick, & Walker, problems 9.48, 9.53, 9.59, and 9.68

More information

Physics 2A Chapter 3: Kinematics in Two Dimensions. Problem Solving

Physics 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 information

Physics 1000 Final Examination. December A) 87 m B) 46 m C) 94 m D) 50 m

Physics 1000 Final Examination. December A) 87 m B) 46 m C) 94 m D) 50 m Answer all questions. The multiple choice questions are worth 4 marks and problems 10 marks each. 1. You walk 55 m to the north, then turn 60 to your right and walk another 45 m. How far are you from where

More information

Kinematics. Demonstrated Through. Projectile Launcher

Kinematics. Demonstrated Through. Projectile Launcher Kinematics Demonstrated Through Projectile Launcher E. El-Zammar Physics 420: Demonstration Physics Department of Physics University of British Columbia Vancouver,B.C. Canada V6T 1Z1 October 28 th, 2008

More information

Physics Notes Class 11 CHAPTER 3 MOTION IN A STRAIGHT LINE

Physics 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 information

Practice Test (Chapter 10)

Practice Test (Chapter 10) Practice Test (Chapter 10) 1) According to Kepler's laws, the paths of planets about the sun are A) parabolas. B) circles. C) straight lines. D) ellipses. Answer: D 2) Which of the following is not a vector

More information

Example (1): Motion of a block on a frictionless incline plane

Example (1): Motion of a block on a frictionless incline plane Firm knowledge of vector analysis and kinematics is essential to describe the dynamics of physical systems chosen for analysis through ewton s second law. Following problem solving strategy will allow

More information

Supplemental Questions

Supplemental Questions Supplemental Questions The fastest of all fishes is the sailfish. If a sailfish accelerates at a rate of 14 (km/hr)/sec [fwd] for 4.7 s from its initial velocity of 42 km/h [fwd], what is its final velocity?

More information

Physics 2101, First Exam, Fall 2007

Physics 2101, First Exam, Fall 2007 Physics 2101, First Exam, Fall 2007 September 4, 2007 Please turn OFF your cell phone and MP3 player! Write down your name and section number in the scantron form. Make sure to mark your answers in the

More information

STRAIGHT LINE MOTION. 1 Equations of Straight Line Motion (Constant Acceleration)

STRAIGHT LINE MOTION. 1 Equations of Straight Line Motion (Constant Acceleration) 1 CHAPTER. STRAIGHT LINE MOTION (CONSTANT ACCELERATION) 1 INSTITIÚID TEICNEOLAÍOCHTA CHEATHARLACH INSTITUTE OF TECHNOLOGY CARLOW STRAIGHT LINE MOTION By definition, mechanics is the study of bodies at

More information

Lesson 03: Kinematics

Lesson 03: Kinematics www.scimsacademy.com PHYSICS Lesson 3: Kinematics Translational motion (Part ) If you are not familiar with the basics of calculus and vectors, please read our freely available lessons on these topics,

More information

BROCK UNIVERSITY MATHEMATICS MODULES

BROCK UNIVERSITY MATHEMATICS MODULES BROCK UNIVERSITY MATHEMATICS MODULES 11A.4: Maximum or Minimum Values for Quadratic Functions Author: Kristina Wamboldt WWW What it is: Maximum or minimum values for a quadratic function are the largest

More information

6. Solve for x. Sides Have: Want: Function: ( ) =

6. 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 information