Kinematics II Mathematical Analysis of Motion

Size: px
Start display at page:

Download "Kinematics II Mathematical Analysis of Motion"

Transcription

1 AP Physics Kinematics II Mathematical Analysis of Motion Introduction: Everything in the universe is in a state of motion. It might seem impossible to find a simple way to describe and understand the motion of all objects, but this is just what physicists have done! We can describe motion using four quantities time, displacement, velocity, and acceleration. We will look at "pictures" of these quantities called graphs, we will relate these quantities to each other through formulas, and we will use these formulas to solve problems. The entire description of how an object moves is titled kinematics. Kinematics does not consider why an object moves or what causes the motion. Kinematics only describes how an object moves. Performance Objectives: Upon completion of the readings and activities, and when asked to respond either orally or on a written test, you will: Define the terms: position, distance, displacement, speed, and velocity. Distinguish between distance and displacement and between speed and velocity. Define, compare, and contrast: constant speed, average speed, and instantaneous speed. Define, compare, and contrast: constant velocity, average velocity, and instantaneous velocity. Recognize the graphs of position vs. time for constant and changing velocity. Interpret these graphs in terms of changing position. Calculate the slope of the line and relate it to constant, average, and/or instantaneous velocity. Recognize constant and changing velocity on a velocity vs. time graph. Find the displacement from a velocity vs. time graph. Plot a velocity vs. time graph from a position vs. time graph. Sketch possible graphs to describe given situations. Describe possible situations to accompany given graphs. State the formula for average velocity. Use the formula to solve problems. Define acceleration. Understand that acceleration is a vector quantity. Recognize constant and changing velocity on a velocity vs. time graph. Calculate acceleration from the slope of the line. Plot an acceleration vs. time graph from a velocity vs. time graph. Find the change in velocity from an acceleration vs. time graph. State the formula for acceleration. Use the formula to solve problems. State the formula for distance traveled during uniform acceleration. Derive the formula. Use the formula to solve problems. State the formula for velocity when distance and acceleration are known. Derive the formula and use it to solve problems. "Nothing in nature is more ancient than motion, and the volumes that the philosophers have compiled about it are neither few nor small: yet have discovered that there are many things of interest about it that have hitherto been unperceived." -Galileo Galilei ( ) Textbook Reference: Tipler 6 th edition: Chapter 2 Glencoe Physics: Chapter 2 PSSC: Chapter 1 HRW Fundamentals of Physics: Chapter 2 Sears College: Chapter 2 Uniform and Non-uniform Acceleration: Solve the following problems. Show the basic equations used. Show the steps of your solution in a logical sequence. Don t forget your units! Circle you answer! Recall from Kinematics I that the slope of a position time graph is the average velocity. v avg = Δx / Δt 1.) A particle moves along a straight line in the x- direction. Its position varies with time according to the expression x = -4t + 2t 2, where x is in meters and t is in seconds. a) Determine the displacement of the particle in the time intervals t = 0 to t = 1 s and t = 1 to t = 3 s. b) Calculate the average velocity in the time intervals t = 0 to t = 1 s and t = 1 to t = 3 s. -2 m 8 m -2 m/s 4 m/s

2 2.) The position of a particle moving along the horizontal axis varies in time according to the expression x = 3t 2, where x is in meters and t is in seconds. a) What are the units on 3? m/s 2 b) Find the velocity at any time. v = 6t 3.) The position of a particle along the x axis is given by x = 3t 3-7t, where x is in meters and t is in seconds. a) What are the units on 3 and 7? b) What is the average velocity of the particle during the interval from t = 2.0 s to t = 5.0 s? c) What is the instantaneous velocity at t =4.0 s? m/s 3 m/s 110m/s 137 m/s 4.) A particle moving in a straight line has a velocity v 0 = 60 m/s at t = 0. Between t = 0 and t = 15 s, the velocity decreases uniformly to zero. a) What was the average acceleration during this 15-s interval? -4.0 m/s 2 b) What is the significance of the sign of your answer? 5.) A particle moves along the x axis according to the equation x = 2t + 3t 2, where x is in m and t is in s. Calculate the instantaneous velocity and instantaneous acceleration at t = 3 s. 20 m/s 6 m/s 2 6.) A particle moves along the x axis according to the equation x = 2 + 3t - t 2, where x is in m and t is in s. At t = 3 s, find a) the position of the particle, b) its velocity and c) its acceleration. 2 m -3 m/s -2 m/s 2 7.) The velocity of a particle moving along the x axis varies in time according to v = 15-8t, where t is in seconds and v is in m/s. a) What are the units on 15 and 8? b) What would these quantities be called? c) Find the acceleration of the particle, d) Find its velocity at t = 3 s. e) Find its average velocity in the time interval t = 0 to t = 2 s. 8 m/s 2-9 m/s 7 m/s 8.) Given the position function x(t) = at 2 + 2bt. a) What is the velocity function? b) Is this a case of uniform or non-uniform acceleration? 9.) Given the position function x(t) = at 2 + 2bt 3 a) What is the velocity function? b) Is this a case of uniform or non-uniform acceleration? c) What is the acceleration function? 10.) A particle moves along the x-axis in such a way that its coordinate varies in time according to the expression x = 4 + 2t -3t 2, where x is in meters and t is in seconds. a) Make an x-t graph for the interval t = 0 to t = 2 s. b) Determine the initial position and the initial velocity of the particle. x 0 = 4 m v 0 = 2 m/s c) At what time does the particle reach a maximum position. (Note: At this time, v = 0) t = 0.33 s d) Calculate the position, velocity, and acceleration at t = 2 s. -4 m -10 m/s -6 m/s 2 11.) A particle moves along the x-axis according to the equation x = 50t + 10t 2, where x is in meters and t is in seconds. Calculate: a) the average velocity of the particle during the first 3.0 s of its motion b) the instantaneous velocity of the particle at t = 3.0 s. c) the instantaneous acceleration of the particle at t = 3.0 s. d) Graph x as a function of time and indicate how the answer to (a) can be obtained from the plot. e) Indicate the answer to (b) on the graph. Plot v as a function of time and indicate on it the answer to (c). 12.) If the position of a particle is given by x = 20t - 5t 3, where x is in meters and t is in seconds: a) when, if ever, is the particle's velocity zero? t = 1.15 s b) When is its acceleration zero? t = 0 c) When is the acceleration negative? t > 0 positive? t < 0 d) Graph x(t), v(t), and a(t). 13.) The position of a particle moving along the x-axis is given in centimeters by x = t 3, where t is in seconds. Consider the time interval t = 2.00 s to t = 3.00 s and calculate: a) the average velocity cm/s b) the instantaneous velocity at t = 2.00 s. 18 cm/s c) the instantaneous velocity at t = 3.00 s cm/s d) the instantaneous velocity at t = 2.50 s cm/s e) the instantaneous velocity when the particle is midway between its positions at t = 2.00 s and t = 3.00 s. (At x = 36 cm) 30.3 cm/s f) Graph x versus t and indicate your answers graphically. Uniform Acceleration: v avg = Δx / Δt 14.) If a body has uniform (constant) velocity, what is the relationship among its initial, final, and average velocities? If a body has a uniform (constant acceleration), what is the relationship among its initial, final, and average velocities? 15.) Light from the sun reaches the earth in 8.3 minutes. The speed of light is 3.0 x 10 8 m/s. In kilometers, how far is the earth from the sun? 1.5 x 10 8 km

3 16.) The distance from home plate to the pitchers mound is 18.5 m. Is a pitcher is capable of throwing a ball at 38.5 m/s (about 83 mph), how long does it take a thrown ball to reach home plate? s 17.) A diver travels the length of the Pennsylvania Turnpike (576 km) in 6 hours and 40 minutes. What is her average speed (a) in km/hr? (b) in m/s (c) in mph? 86.4 km/hr 24 m/s 53mph 18.) If, while you are driving along at 45 km/hr, your attention wanders for 0.50 s, how far (in meters) do you travel "blind" during that half second? 6.3 m 19.) A train travels at km/hr for 0.52 hours, at 60 km/hr for the next 0.24 hours, and then at 117 km/hr for the next 0.71 hours. What is the average speed? 102 km/hr When two objects are moving, you must use an equation to describe the motion of each object. 20.) A bullet is fired at 660 m/s and strikes a target that is m from the gun. If the marksman hears the sound of the impact on the target 0.90 s after he fires the gun, what is the speed of sound in this situation? 21.) An experimental rocket car moves along a straight track at a constant speed of 90.0 m/s. The car passes a group of officials, travels a distance of m and then explodes. If the officials hear the sound of the explosion 3.8 s after the car passes their position, what is the speed of sound on that day? m/s Recall from Kinematics I that the slope of a velocity time graph gives the acceleration. a = Δv / Δt 22.) Each of the following changes in velocity takes place in a 10 second - interval. What is the magnitude, the algebraic sign, and the direction of the average acceleration in each interval? a.) At the beginning of the interval, a body is moving toward the right at 5 m/s and, at the end, it is moving toward the right at 20 m/s m/s 2 right b.) At the beginning it is moving toward the right at 20 m/s and, at the end, it is moving toward the right at 5.0 m/s m/s 2 left c.) At the beginning it is moving toward the left at 5.0 m/s and, at the end, it is moving toward the left at 20 m/s m/s 2 left d.) At the beginning it is moving toward the left at 20 m/s and, at the end, it is moving toward the left at 5.0 m/s m/s 2 right e.) At the beginning it is moving toward the right at 20 m/s and, at the end, it is moving toward the left at 20 m/s m/s 2 left f.) At the beginning it is moving toward the left at 20 m/s and, at the end, it is moving toward the right at 20 m/s m/s 2 right g.) In which of the above instances has the body decelerated? b, d, e, and f 23.) A uniformly accelerated body is moving with a velocity of 3.0 m/s south. 5.0 seconds later, it has a velocity of 7.0 m/s north. What is the acceleration? 2.0 m/s 2 north 24.) An airplane starting from rest has a uniform acceleration of 4.0 m/s 2. What is the velocity at the end of 30.0 s if this acceleration is maintained? 120 m/s 25.) During an interval of 10.0 seconds, a train on a straight track changes its velocity from 15.0 km/hr to 20 km/hr. Determine the acceleration and the average velocity during that period assuming that the change occurred uniformly km/hr-s or m/s km/hr 26.) A snail traveling at a snail's pace (12 m/day) decides to slow down to only 5.0 m/day, and allows itself 2.0 minutes in which to make the change. (a) Express its initial velocity in km/hr, cm/yr, and m/s (b) Compute the acceleration in m/day-min and in m/s x 10-4 km/hr 438,000 cm/yr 1.4 x 10-4 m/s -3.5 m/day-min -6.8x10-7 m/s 2 Other kinematics formulas can be derived from the graphs and algebraic substitution. v avg = (v i + v f ) / 2 Δx = v 0 Δt + ½aΔt 2 v f 2 = v i 2 + 2aΔx 27.) Nolan Ryan pitched a baseball that that traveled from the pitcher's mound to home plate (a distance of 18.5 m) in s. (a) What was the speed of the ball in km/hr? (b) in mph? (c) If the catcher allowed his mitt to recoil backward m while catching the ball, what was the acceleration of the ball while it was being slowed down by the catcher? 162 km/hr 100mph -13,500 m/s 2 28.) A spacecraft increases speed at a rate of 0.02 km/s 2. How much time is required for the speed to increase from 7.0 km/s to 8.0 km/s? How far does it travel during this time? How far will it travel during the ninth second? 50 sec 375 km 7.17 km

4 29.) A train has an acceleration of 3.0 m/s 2 in a direction opposite to that of its motion. (a) How long a time will the train require to stop if it is initially going 30.0 m/s? (b) How far does it travel during this time period? 10.0 sec 150 m 30.) A body moving with constant acceleration covers the distance between two points 60.0 m apart in 6.0 seconds. Its velocity as it passes the second point is 15 m/s. (a) What is its velocity at the first point? (b) What is the acceleration? 5.0 m/s 1.6 m/s 2 31.) A bus traveling along a straight street at 16.7 m/s increasing its speed at the rate of 1.33 m/s each second. (a) Find the distance covered in 6.00 s. (b) If its speed is decreasing at the rate of 1.33 m/s each second, find the distance traveled in 6.00 seconds and the time it takes to come to rest. 124 m 76.3 m 12.6 sec Free Falling Objects Experiment shows that all objects, no matter what their mass, density, or shape will fall to earth from a given release point with the same free fall acceleration, "g". Free fall means falling in a vacuum, so that the frictional resistance and buoyant effect of the air do not affect the motion. The quantity "g" is often referred to as the acceleration due to gravity. The direction of "g" at any given point determines the direction of the vertical at that point; it defines what we mean by "down." Although the magnitude of "g" varies from point to point on the earth's surface, and also with elevation, its average value at sea level and mid latitudes is 9.8 m/s 2 (about 32 ft/s 2 ). We will use this value for the problems in this unit. 32.) A 1.0 kg stone is dropped from a tall building. What is its displacement after it falls freely for 3.0 sec? m 33.) A small object is given an initial downward velocity of 3.0 m/s. (a) What is its velocity after it falls freely for 5.0 s? (b) What is its displacement from the initial position? -52 m/s m 34.) A ball dropped from a bridge requires 5.0 s to strike the ground below. How high is the bridge in meters? m 35.) With what upward speed should a package be thrown in order to be caught easily be a person on a balcony 6.0 m above the ground? 10.8 m/s 36.) A ball is thrown vertically upward to a height of 19.6 m and allowed to strike the ground. If it loses one fourth of its speed while in contact with the ground, how high does it rise on the rebound? m 37.) A ball is thrown nearly vertically upward from a point near the corner of a tall building. It just misses the edge on the way down, and passes a point 50.0 m below its starting point 5.0 s after it leaves the throwers hand. (a) What was the initial velocity of the ball? (b) How high did it rise above its starting point? (c) What were the magnitude and direction of its velocity at the highest point? 38.) A pitcher throws a baseball straight up, with an initial speed of 25 m/s. (a) How long does it take to reach the highest point? (b) How high does the ball rise above its release point? (c) How long will it take for the ball to reach a point 25 m above its release point? 2.6 s 32m 1.4 sec and 3.7 sec When two objects are moving at the same time and you are comparing them relative to each other, the two equations used to describe the motions of the objects must be solved simultaneously. 39.) Just as a traffic light turns green, a waiting car starts off with a constant acceleration of 6.0 m/s 2. At the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane. (a) How far will the car travel before it overtakes the truck? (b) How fast will the car be traveling when it overtakes the truck? 147 m 42 m/s 40.) At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2 m/s 2. At the same instant, a truck, traveling with a constant velocity of 10 m/s, overtakes and passes the automobile. (a) How far (time wise) beyond the starting point will the automobile overtake the truck? (b) How fast will it be traveling? 10 s 20 m/s 41.) An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. The truck has a constant acceleration of 2.0 m/s 2 and the automobile, an acceleration of 3.0 m/s 2. The automobile overtakes the truck after the truck has moved 75 m. (a) How long does it take the automobile to overtake the truck? (b) How far was the auto behind the truck initially? (c) What is the velocity of each vehicle when they are side-by-side? 8.7 s 37.5 m 26.1 m/s 17.4 m/s 42.) A car and a truck are each traveling at 20.0 m/s, and the car is 25 m behind the truck. The car driver decides to pass the truck, and he steps on the gas, producing an

5 acceleration of 3.0 m/s 2. (a) How long will it be before the car is alongside the truck? (b) How fast will the car be moving relative to the truck when they are side by side? (c) How far will the car travel while reaching the truck? (d) How far will the truck travel in the same time? 4.1 s 12.3 m/s 107 m 82m 43.) A late passenger, sprinting at 8.0 m/s, is 30.0 m away from the rear of the train when it starts out of the station with an acceleration of 1.0 m/s 2. Can the passenger catch the train if the platform is long enough? (This problem requires the solution of a quadratic equation. Explain the significance of the two values you get for the time.) YES!! 44.) A pedestrian is running at the maximum speed of 6.0 m/s to catch a bus stopped by a traffic light. When she is 25 m from the bus, the light changes and the bus accelerates uniformly at 1.0 m/s 2. Find either (a) How far she has to run to catch the bus, or (b) Her frustration distance (closest point that he reaches). Do this with the use of a graph or by solving the appropriate equations. 7.0 m 45.) The engineer of a passenger train traveling at 30.0 m/s sights a freight train whose caboose is m ahead on the same track. The freight train is traveling in the same direction as the passenger train with a velocity of 10.0 m/s. The engineer of the passenger train immediately applies the brakes, causing constant deceleration of 1.0 m/s 2, while the freight train continues at constant speed. (a) Will there be a collision? (b) If so, where will it take place? Yes 400 meters from where the passenger train first noticed the freight train. 46.) A stone is dropped from the top of a tall cliff, and 1.0 s later a second stone is thrown vertically downward with a speed of 20.0 m/s. How far below the top of the cliff will the second stone overtake the first? 10.7 m 47.) A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, a ball is dropped from rest from a building 15 m high. After how long will the balls be at the same height? 0.60 s

Kinematics II Mathematical Analysis of Motion

Kinematics II Mathematical Analysis of Motion AP Physics-B Kinematics II Mathematical Analysis of Motion Introduction: Everything in the universe is in a state of motion. It might seem impossible to find a simple way to describe and understand the

More information

acceleration versus time. LO Determine a particle s change in position by graphical integration on a graph of velocity versus time.

acceleration versus time. LO Determine a particle s change in position by graphical integration on a graph of velocity versus time. Chapter: Chapter 2 Learning Objectives LO 2.1.0 Solve problems related to position, displacement, and average velocity to solve problems. LO 2.1.1 Identify that if all parts of an object move in the same

More information

FIRST MIDTERM - REVIEW PROBLEMS

FIRST MIDTERM - REVIEW PROBLEMS Physics 10 Spring 009 George Williams FIRST MIDTERM - REVIEW PROBLEMS A data sheet is provided at the end. Problems labeled [Ch. 4] are relevant to the second midterm. 1. Convert 747 m to feet. Convert

More information

AP Physics C: Mechanics Ch. 2 Motion. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

AP Physics C: Mechanics Ch. 2 Motion. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Name: Period: Date: AP Physics C: Mechanics Ch. Motion SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) Car A is traveling at twice the speed of car

More information

CHAPTER 2: Describing Motion: Kinematics in One Dimension

CHAPTER 2: Describing Motion: Kinematics in One Dimension CHAPTER : Describing Motion: Kinematics in One Dimension Answers to Questions 1. A car speedometer measures only speed. It does not give any information about the direction, and so does not measure velocity..

More information

1) If the acceleration of an object is negative, the object must be slowing down. A) True B) False Answer: B Var: 1

1) If the acceleration of an object is negative, the object must be slowing down. A) True B) False Answer: B Var: 1 University Physics, 13e (Young/Freedman) Chapter 2 Motion Along a Straight Line 2.1 Conceptual Questions 1) If the acceleration of an object is negative, the object must be slowing down. A) True B) False

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) If the acceleration of an object is negative, the object must be slowing down. A) True B) False

More information

Introduction to 1-D Motion Distance versus Displacement

Introduction to 1-D Motion Distance versus Displacement Introduction to 1-D Motion Distance versus Displacement Kinematics! Kinematics is the branch of mechanics that describes the motion of objects without necessarily discussing what causes the motion.! 1-Dimensional

More information

Motion Along a Straight Line

Motion Along a Straight Line PHYS 101 Previous Exam Problems CHAPTER Motion Along a Straight Line Position & displacement Average & instantaneous velocity Average & instantaneous acceleration Constant acceleration Free fall Graphical

More information

CHAPTER 2 DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION

CHAPTER 2 DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION CHAPTER 2 DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION OBJECTIVES After studying the material of this chapter, the student should be able to: state from memory the meaning of the key terms and phrases

More information

5) A stone is thrown straight up. What is its acceleration on the way up? 6) A stone is thrown straight up. What is its acceleration on the way down?

5) A stone is thrown straight up. What is its acceleration on the way up? 6) A stone is thrown straight up. What is its acceleration on the way down? 5) A stone is thrown straight up. What is its acceleration on the way up? Answer: 9.8 m/s 2 downward 6) A stone is thrown straight up. What is its acceleration on the way down? Answer: 9.8 m/ s 2 downward

More information

SatFeb23_Class_project_A

SatFeb23_Class_project_A Class: Date: SatFeb23_Class_project_A Multiple Choice Identify the choice in the blank beside the number that best completes the statement or answers the question 1 Which of the following is an area of

More information

Chapter 1. Kinematics

Chapter 1. Kinematics Chapter 1 Kinematics 3 4 AP Physics Multiple Choice Practice Kinematics 1. A car travels 30 miles at an average speed of 60 miles per hour and then 30 miles at an average speed of 30 miles per hour. The

More information

College Physics: A Strategic Approach, 3e (Knight) Chapter 2 Motion in One Dimension. 2.1 Conceptual Questions

College Physics: A Strategic Approach, 3e (Knight) Chapter 2 Motion in One Dimension. 2.1 Conceptual Questions College Physics: A Strategic Approach, 3e (Knight) Chapter 2 Motion in One Dimension 2.1 Conceptual Questions 1) Consider a deer that runs from point A to point B. The distance the deer runs can be greater

More information

Version PREVIEW Semester 1 Review Slade (22222) 1

Version PREVIEW Semester 1 Review Slade (22222) 1 Version PREVIEW Semester 1 Review Slade () 1 This print-out should have 48 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. Holt SF 0Rev 10A

More information

2.1 KINEMATICS HW/Study Packet

2.1 KINEMATICS HW/Study Packet 2.1 KINEMATICS HW/Study Packet Required: READ Hamper pp 17-28 READ Tsokos, pp 38-62 SL/HL Supplemental: Cutnell and Johnson, pp 28-52 Giancoli, pp 19-38 ü ü ü ü ü REMEMBER TO. Work through all of the example

More information

Chapter 2. Kinematics in one dimension

Chapter 2. Kinematics in one dimension Chapter 2 Kinematics in one dimension Galileo - the first modern kinematics 1) In a medium totally devoid of resistance all bodies will fall at the same speed 2) During equal intervals of time, a falling

More information

EDEXCEL INTERNATIONAL A LEVEL MATHEMATICS. MECHANICS 1 Student Book SAMPLE COPY

EDEXCEL INTERNATIONAL A LEVEL MATHEMATICS. MECHANICS 1 Student Book SAMPLE COPY SPECIFICATIN 1.1.1 UNIT 1 THE MARKET i EDEXCEL INTERNATINAL A LEVEL MATHEMATICS MECHANICS 1 Student Book CNTENTS ii ABUT THIS BK VI 1 MATHEMATICAL MDELS IN MECHANICS 2 2 VECTRS IN MECHANICS 12 3 CNSTANT

More information

Ch 2. Describing Motion: Kinematics in 1-D.

Ch 2. Describing Motion: Kinematics in 1-D. Ch 2. Describing Motion: Kinematics in 1-D. Introduction Kinematic Equations are mathematic equations that describe the behavior of an object in terms of its motion as a function of time. Kinematics is

More information

Unit 1 Test Review Physics Basics, Movement, and Vectors Chapters 2-3

Unit 1 Test Review Physics Basics, Movement, and Vectors Chapters 2-3 A.P. Physics B Unit 1 Test Review Physics Basics, Movement, and Vectors Chapters - 3 * In studying for your test, make sure to study this review sheet along with your quizzes and homework assignments.

More information

1. Joseph runs along a long straight track. The variation of his speed v with time t is shown below.

1. Joseph runs along a long straight track. The variation of his speed v with time t is shown below. Kinematics 1. Joseph runs along a long straight track. The variation of his speed v with time t is shown below. After 25 seconds Joseph has run 200 m. Which of the following is correct at 25 seconds? Instantaneous

More information

12/06/2010. Chapter 2 Describing Motion: Kinematics in One Dimension. 2-1 Reference Frames and Displacement. 2-1 Reference Frames and Displacement

12/06/2010. Chapter 2 Describing Motion: Kinematics in One Dimension. 2-1 Reference Frames and Displacement. 2-1 Reference Frames and Displacement Chapter 2 Describing Motion: Kinematics in One Dimension 2-1 Reference Frames and Displacement Any measurement of position, distance, or speed must be made with respect to a reference frame. For example,

More information

Motion in 1 Dimension

Motion in 1 Dimension Motion in 1 Dimension Physics is all about describing motion. For now we are going to discuss motion in 1 dimension, which means either along the x axis or the y axis. To describe an object s motion, we

More information

Chapter 2: 1-D Kinematics. Brent Royuk Phys-111 Concordia University

Chapter 2: 1-D Kinematics. Brent Royuk Phys-111 Concordia University Chapter 2: 1-D Kinematics Brent Royuk Phys-111 Concordia University Displacement Levels of Formalism The Cartesian axis One dimension: the number line Mathematical definition of displacement: Δx = x f

More information

Chapter 2 Motion in One Dimension

Chapter 2 Motion in One Dimension Chapter 2 Motion in One Dimension Multiple Choice 1. The position of a particle moving along the x axis is given by 2 x = ( 21+ 22t 6 0. t )m, where t is in s. What is the average velocity during the time

More information

Problem Set : Kinematics in 1 Dimension

Problem Set : Kinematics in 1 Dimension Problem Set : Kinematics in 1 Dimension Assignment One-Dimensional Motion Page 1 of 6 Name: Date: Solve the following problems and answer the questions on separate paper. Be neat and complete. Include

More information

Section 2-2: Constant velocity means moving at a steady speed in the same direction

Section 2-2: Constant velocity means moving at a steady speed in the same direction Section 2-2: Constant velocity means moving at a steady speed in the same direction 1. A particle moves from x 1 = 30 cm to x 2 = 40 cm. The displacement of this particle is A. 30 cm B. 40 cm C. 70 cm

More information

1.1 Graphing Motion. IB Physics 11 Kinematics

1.1 Graphing Motion. IB Physics 11 Kinematics IB Physics 11 Kinematics 1.1 Graphing Motion Kinematics is the study of motion without reference to forces and masses. We will need to learn some definitions: A Scalar quantity is a measurement that has

More information

4.1 Motion Is Relative. An object is moving if its position relative to a fixed point is changing. You can describe the motion of an object by its

4.1 Motion Is Relative. An object is moving if its position relative to a fixed point is changing. You can describe the motion of an object by its 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 information

PH105 Exam 1 Solution

PH105 Exam 1 Solution PH105 Exam 1 Solution 1. The graph in the figure shows the position of an object as a function of time. The letters A-E represent particular moments of time. At which moment shown (A, B, etc.) is the speed

More information

Chapter 2: Motion along a straight line

Chapter 2: Motion along a straight line Chapter 2: Motion along a straight line This chapter uses the definitions of length and time to study the motions of particles in space. This task is at the core of physics and applies to all objects irregardless

More information

Chapter 2: 1-D Kinematics

Chapter 2: 1-D Kinematics Chapter : 1-D Kinematics Brent Royuk Phys-111 Concordia University Displacement Levels of Formalism The Cartesian axis One dimension: the number line Mathematical definition of displacement: Δx = x f x

More information

Motion along a straight line. Physics 11a. 4 Basic Quantities in Kinematics. Motion

Motion along a straight line. Physics 11a. 4 Basic Quantities in Kinematics. Motion Physics 11a Motion along a straight line Motion Position and Average velocity and average speed Instantaneous velocity and speed Acceleration Constant acceleration: A special case Free fall acceleration

More information

Lecture PowerPoints. Chapter 2 Physics for Scientists and Engineers, with Modern Physics, 4 th Edition Giancoli

Lecture PowerPoints. Chapter 2 Physics for Scientists and Engineers, with Modern Physics, 4 th Edition Giancoli Lecture PowerPoints Chapter 2 Physics for Scientists and Engineers, with Modern Physics, 4 th Edition Giancoli 2009 Pearson Education, Inc. This work is protected by United States copyright laws and is

More information

8.01x Classical Mechanics, Fall 2016 Massachusetts Institute of Technology. Problem Set 1

8.01x Classical Mechanics, Fall 2016 Massachusetts Institute of Technology. Problem Set 1 8.01x Classical Mechanics, Fall 2016 Massachusetts Institute of Technology 1. Car and Bicycle Rider Problem Set 1 A car is driving along a straight line with a speed v 0. At time t = 0 the car is at the

More information

9/7/2017. Week 2 Recitation: Chapter 2: Problems 5, 19, 25, 29, 33, 39, 49, 58.

9/7/2017. Week 2 Recitation: Chapter 2: Problems 5, 19, 25, 29, 33, 39, 49, 58. 9/7/7 Week Recitation: Chapter : Problems 5, 9, 5, 9, 33, 39, 49, 58. 5. The data in the following table describe the initial and final positions of a moving car. The elapsed time for each of the three

More information

Kinematics 2. What equation relates the known quantities to what is being asked?

Kinematics 2. What equation relates the known quantities to what is being asked? Physics R Date: 1. A cheetah goes from rest to 60 miles per hour (26.8 m/s) in 3 seconds. Calculate the acceleration of the cheetah. Kinematics Equations Kinematics 2 How to solve a Physics problem: List

More information

Four Types of Motion We ll Study

Four Types of Motion We ll Study Four Types of Motion We ll Study The branch of mechanics that studies the motion of a body without caring about what caused the motion. Kinematics definitions Kinematics branch of physics; study of motion

More information

Forces and Motion in One Dimension. Chapter 3

Forces and Motion in One Dimension. Chapter 3 Forces and Motion in One Dimension Chapter 3 Constant velocity on an x-versus-t graph Velocity and Position In general, the average velocity is the slope of the line segment that connects the positions

More information

Practice Test What two units of measurement are necessary for describing speed?

Practice Test What two units of measurement are necessary for describing speed? Practice Test 1 1. What two units of measurement are necessary for describing speed? 2. What kind of speed is registered by an automobile? 3. What is the average speed in kilometers per hour for a horse

More information

PHYSICS Kinematics in One Dimension

PHYSICS Kinematics in One Dimension PHYSICS Kinematics in One Dimension August 13, 2012 www.njctl.org 1 Motion in One Dimension Return to Table of Contents 2 Distance We all know what the distance between two objects is... So what is it?

More information

Some Motion Terms. Distance & Displacement Velocity & Speed Acceleration Uniform motion Scalar.vs. vector

Some Motion Terms. Distance & Displacement Velocity & Speed Acceleration Uniform motion Scalar.vs. vector Motion Some Motion Terms Distance & Displacement Velocity & Speed Acceleration Uniform motion Scalar.vs. vector Scalar versus Vector Scalar - magnitude only (e.g. volume, mass, time) Vector - magnitude

More information

1. The diagram below shows the variation with time t of the velocity v of an object.

1. The diagram below shows the variation with time t of the velocity v of an object. 1. The diagram below shows the variation with time t of the velocity v of an object. The area between the line of the graph and the time-axis represents A. the average velocity of the object. B. the displacement

More information

General Physics. Linear Motion. Life is in infinite motion; at the same time it is motionless. Debasish Mridha

General Physics. Linear Motion. Life is in infinite motion; at the same time it is motionless. Debasish Mridha General Physics Linear Motion Life is in infinite motion; at the same time it is motionless. Debasish Mridha High Throw How high can a human throw something? Mechanics The study of motion Kinematics Description

More information

AP Physics 1 Kinematics 1D

AP Physics 1 Kinematics 1D AP Physics 1 Kinematics 1D 1 Algebra Based Physics Kinematics in One Dimension 2015 08 25 www.njctl.org 2 Table of Contents: Kinematics Motion in One Dimension Position and Reference Frame Displacement

More information

The Science of Physics

The Science of Physics Assessment The Science of Physics Chapter Test B MULTIPLE CHOICE In the space provided, write the letter of the term or phrase that best completes each statement or best answers each question. 1. A hiker

More information

CP Snr and Hon Freshmen Study Guide

CP Snr and Hon Freshmen Study Guide CP Snr and Hon Freshmen Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Displacement is which of the following types of quantities? a. vector

More information

Chapter 2 1D KINEMATICS

Chapter 2 1D KINEMATICS Chapter 2 1D KINEMATICS The motion of an American kestrel through the air can be described by the bird s displacement, speed, velocity, and acceleration. When it flies in a straight line without any change

More information

Chapter 8 : Motion. KEY CONCEPTS [ *rating as per the significance of concept ]

Chapter 8 : Motion. KEY CONCEPTS [ *rating as per the significance of concept ] Chapter 8 : Motion KEY CONCEPTS [ *rating as per the significance of concept ] 1 Motion **** 2 Graphical Representation of Motion *** & Graphs 3 Equation of motion **** 4 Uniform Circular Motion ** 1 Motion

More information

ONE-DIMENSIONAL KINEMATICS

ONE-DIMENSIONAL KINEMATICS ONE-DIMENSIONAL KINEMATICS Chapter 2 Units of Chapter 2 Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications

More information

2 MOTION ALONG A STRAIGHT LINE

2 MOTION ALONG A STRAIGHT LINE MOTION ALONG A STRAIGHT LINE Download full Solution manual for Universit phsics with modern phsics 14t http://testbankcollection.com/download/solution-manual-for-universit-phsics-withmodern-phsics-14th.1.

More information

Chapter 2 Test Item File

Chapter 2 Test Item File Chapter 2 Test Item File Chapter 2: Describing Motion: Kinetics in One Dimension 1. What must be your average speed in order to travel 350 km in 5.15 h? a) 66.0 km/h b) 67.0 km/h c) 68.0 km/h d) 69.0 km/h

More information

Lecture 2. 1D motion with Constant Acceleration. Vertical Motion.

Lecture 2. 1D motion with Constant Acceleration. Vertical Motion. Lecture 2 1D motion with Constant Acceleration. Vertical Motion. Types of motion Trajectory is the line drawn to track the position of an abject in coordinates space (no time axis). y 1D motion: Trajectory

More information

Chapter 3 Acceleration

Chapter 3 Acceleration Chapter 3 Acceleration Slide 3-1 Chapter 3: Acceleration Chapter Goal: To extend the description of motion in one dimension to include changes in velocity. This type of motion is called acceleration. Slide

More information

Name: Class: Date: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. c.

Name: Class: Date: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. c. Class: Date: Chapter 2 Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. What is the speed of an object at rest? a. 0.0 m/s c. 9.8 m/s

More information

INTRODUCTION. 1. One-Dimensional Kinematics

INTRODUCTION. 1. One-Dimensional Kinematics INTRODUCTION Mechanics is the area of physics most apparent to us in our everyday lives Raising an arm, standing up, sitting down, throwing a ball, opening a door etc all governed by laws of mechanics

More information

Chapter 2. Kinematics in One Dimension. continued

Chapter 2. Kinematics in One Dimension. continued Chapter 2 Kinematics in One Dimension continued 2.6 Freely Falling Bodies Example 10 A Falling Stone A stone is dropped from the top of a tall building. After 3.00s of free fall, what is the displacement

More information

A. Basic Concepts and Graphs

A. Basic Concepts and Graphs A. Basic Concepts and Graphs A01 [Qual] [Easy] For each of the following, select if it is a vector or a scalar. a) Speed b) Distance traveled c) Velocity d) (Linear) Displacement A02 [Qual] [Easy] Give

More information

Chapter 2 Kinematics in One Dimension:

Chapter 2 Kinematics in One Dimension: Chapter 2 Kinematics in One Dimension: Vector / Scaler Quantities Displacement, Velocity, Acceleration Graphing Motion Distance vs Time Graphs Velocity vs Time Graphs Solving Problems Free Falling Objects

More information

Physics 201 Homework 1

Physics 201 Homework 1 Physics 201 Homework 1 Jan 9, 2013 1. (a) What is the magnitude of the average acceleration of a skier who, starting (a) 1.6 m/s 2 ; (b) 20 meters from rest, reaches a speed of 8.0 m/s when going down

More information

FACT: Kinematics is the branch of Newtonian mechanics concerned with the motion of objects without reference to the forces that cause the motion.

FACT: Kinematics is the branch of Newtonian mechanics concerned with the motion of objects without reference to the forces that cause the motion. AP Physics 1- Kinematics Practice Problems FACT: Kinematics is the branch of Newtonian mechanics concerned with the motion of objects without reference to the forces that cause the motion. FACT: Displacement

More information

AP Physics 1- Kinematics Practice Problems (version 2)

AP Physics 1- Kinematics Practice Problems (version 2) AP Physics 1- Kinematics Practice Problems (version 2) FACT: Kinematics is the branch of Newtonian mechanics concerned with the motion of objects without reference to the forces that cause the motion.

More information

Mechanics. Time (s) Distance (m) Velocity (m/s) Acceleration (m/s 2 ) = + displacement/time.

Mechanics. Time (s) Distance (m) Velocity (m/s) Acceleration (m/s 2 ) = + displacement/time. Mechanics Symbols: Equations: Kinematics The Study of Motion s = distance or displacement v = final speed or velocity u = initial speed or velocity a = average acceleration s u+ v v v u v= also v= a =

More information

(f) none of the above

(f) none of the above Honors Physics TEST: Kinematics in 1D 10/30/12 Part 1. Multiple Choice: Answer the following multiple choice questions by picking the selection that best answers the question. Write your answers on a separate

More information

What is a Vector? A vector is a mathematical object which describes magnitude and direction

What is a Vector? A vector is a mathematical object which describes magnitude and direction What is a Vector? A vector is a mathematical object which describes magnitude and direction We frequently use vectors when solving problems in Physics Example: Change in position (displacement) Velocity

More information

Chapter 2 One-Dimensional Kinematics. Copyright 2010 Pearson Education, Inc.

Chapter 2 One-Dimensional Kinematics. Copyright 2010 Pearson Education, Inc. Chapter One-Dimensional Kinematics Units of Chapter Position, Distance, and Displacement Average Speed and Velocity Instantaneous Velocity Acceleration Motion with Constant Acceleration Applications of

More information

Lecture Notes Kinematics Recap 2.4 Acceleration

Lecture Notes Kinematics Recap 2.4 Acceleration Lecture Notes 2.5-2.9 Kinematics Recap 2.4 Acceleration Acceleration is the rate at which velocity changes. The SI unit for acceleration is m/s 2 Acceleration is a vector, and thus has both a magnitude

More information

1. A sphere with a radius of 1.7 cm has a volume of: A) m 3 B) m 3 C) m 3 D) 0.11 m 3 E) 21 m 3

1. A sphere with a radius of 1.7 cm has a volume of: A) m 3 B) m 3 C) m 3 D) 0.11 m 3 E) 21 m 3 1. A sphere with a radius of 1.7 cm has a volume of: A) 2.1 10 5 m 3 B) 9.1 10 4 m 3 C) 3.6 10 3 m 3 D) 0.11 m 3 E) 21 m 3 2. A 25-N crate slides down a frictionless incline that is 25 above the horizontal.

More information

Chapter 2. Kinematics in One Dimension. continued

Chapter 2. Kinematics in One Dimension. continued Chapter 2 Kinematics in One Dimension continued 2.4 Equations of Kinematics for Constant Acceleration vx0 = 0m s ax = +31 m s 2 Δx vx = 62m s Example: Catapulting a Jet Find its displacement. vx0 = 0m

More information

Newtonian mechanics: kinematics and dynamics Kinematics: mathematical description of motion (Ch 2, Ch 3) Dynamics: how forces affect motion (Ch 4)

Newtonian mechanics: kinematics and dynamics Kinematics: mathematical description of motion (Ch 2, Ch 3) Dynamics: how forces affect motion (Ch 4) July-15-14 10:39 AM Chapter 2 Kinematics in One Dimension Newtonian mechanics: kinematics and dynamics Kinematics: mathematical description of motion (Ch 2, Ch 3) Dynamics: how forces affect motion (Ch

More information

Formative Assessment: Uniform Acceleration

Formative Assessment: Uniform Acceleration Formative Assessment: Uniform Acceleration Name 1) A truck on a straight road starts from rest and accelerates at 3.0 m/s 2 until it reaches a speed of 24 m/s. Then the truck travels for 20 s at constant

More information

DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION. AP Physics Section 2-1 Reference Frames and Displacement

DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION. AP Physics Section 2-1 Reference Frames and Displacement DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION AP Physics Section 2-1 Reference Frames and Displacement Model the velocity of the ball from the time it leaves my hand till the time it hits the ground?

More information

Chapter 2. Motion along a Straight Line

Chapter 2. Motion along a Straight Line Chapter 2 Motion along a Straight Line 1 2.1 Motion Everything in the universe, from atoms to galaxies, is in motion. A first step to study motion is to consider simplified cases. In this chapter we study

More information

2008 FXA. DISPLACEMENT (s) / metre (m) 1. Candidates should be able to : The distance moved by a body in a specified direction.

2008 FXA. DISPLACEMENT (s) / metre (m) 1. Candidates should be able to : The distance moved by a body in a specified direction. DISPLACEMENT (s) / metre (m) 1 Candidates should be able to : Define displacement, instantaneous speed, average speed, velocity and acceleration. Select and use the relationships : average speed = distance

More information

PHYSICS - CLUTCH CH 02: 1D MOTION (KINEMATICS)

PHYSICS - CLUTCH CH 02: 1D MOTION (KINEMATICS) !! www.clutchprep.com CONSTANT / AVERAGE VELOCITY AND SPEED Remember there are two terms that deal with how much something moves: - Displacement ( ) is a vector (has direction; could be negative) - Distance

More information

Physics 101 Prof. Ekey. Chapter 2

Physics 101 Prof. Ekey. Chapter 2 Physics 11 Prof. Ekey Chapter 2 Kinematics in one dimension Uniform motion, s vs t, v vs t, a vs t, kinematic equations fun. In this chapter, you will learn how to solve problems about motion along a straight

More information

a) An object decreasing speed then increasing speed in the opposite direction.

a) An object decreasing speed then increasing speed in the opposite direction. Putting it all Together 10.1 Practice Use the kinematics equations to solve the following problems: a) You throw a marble up at the speed of 10 m/s. What is its maximum height? b) You drop a marble from

More information

Chapter 2: 1-D Kinematics

Chapter 2: 1-D Kinematics Chapter : 1-D Kinematics Types of Motion Translational Motion Circular Motion Projectile Motion Rotational Motion Natural Motion Objects have a proper place Objects seek their natural place External forces

More information

AP Physics 1 Summer Assignment

AP Physics 1 Summer Assignment Name: Email address (write legibly): AP Physics 1 Summer Assignment Packet 3 The assignments included here are to be brought to the first day of class to be submitted. They are: Problems from Conceptual

More information

Question 1: An object has moved through a distance. Can it have zero displacement? If yes, support your answer with an example. Yes. An object that has moved through a distance can have zero displacement.

More information

Chapter 2. Motion In One Dimension

Chapter 2. Motion In One Dimension I. Displacement, Position, and Distance Chapter 2. Motion In One Dimension 1. John (Mike, Fred, Joe, Tom, Derek, Dan, James) walks (jogs, runs, drives) 10 m north. After that he turns around and walks

More information

Motion Graphs Practice

Motion Graphs Practice Name Motion Graphs Practice d vs. t Graphs d vs. t Graphs d vs. t Graphs 1. The graph below represents the relationship between velocity and time of travel for a toy car moving in a straight line. 3. The

More information

Kinematics in One Dimension

Kinematics in One Dimension Honors Physics Kinematics in One Dimension Life is in infinite motion; at the same time it is motionless. Debasish Mridha Mechanics The study of motion Kinematics Description of how things move Dynamics

More information

Chapter 2 Solutions. = 16.1 m/s. = 11.5 m/s m. 180 km = ( ) h. = 2.5 m/s. = 3.3 m/s

Chapter 2 Solutions. = 16.1 m/s. = 11.5 m/s m. 180 km = ( ) h. = 2.5 m/s. = 3.3 m/s Chapter Solutions *.1 (a) v.30 m/s v x 57.5 m 9.0 m 3.00 s 16.1 m/s (c) v x 57.5 m 0 m 5.00 s 11.5 m/s. (a) Displacement (8.50 10 4 m/h) 35.0 60.0 h + 130 103 m x (49.6 + 130) 10 3 m 180 km Average velocity

More information

not to be republished NCERT MOTION IN A STRAIGHT LINE CHAPTER THREE

not to be republished NCERT MOTION IN A STRAIGHT LINE CHAPTER THREE CHAPTER THREE 3. Introduction 3. Position, path length and displacement 3.3 Average velocity and average speed 3.4 Instantaneous velocity and speed 3.5 Acceleration 3.6 Kinematic equations for uniformly

More information

QuickCheck. A cart slows down while moving away from the origin. What do the position and velocity graphs look like? Slide 2-65

QuickCheck. A cart slows down while moving away from the origin. What do the position and velocity graphs look like? Slide 2-65 QuickCheck A cart slows down while moving away from the origin. What do the position and velocity graphs look like? Slide 2-65 QuickCheck A cart speeds up toward the origin. What do the position and velocity

More information

One Dimensional Motion (Motion in a Straight Line)

One Dimensional Motion (Motion in a Straight Line) One Dimensional Motion (Motion in a Straight Line) Chapter MOTION QUANTITIES 1 Kinematics - Intro Mechanics generally consists of two parts: Kinematics and Dynamics. Mechanics Kinematics Description of

More information

Chapter Units and Measurement

Chapter Units and Measurement 2 Chapter Units and Measurement 1. Identify the pair whose dimensions are equal [2002] torque and work stress and energy force and stress force and work 2. [2003] [L -1 T] ] [L -2 T 2 ] [L 2 T -2 ] [LT

More information

During the second part of the trip then we travelled at 50 km/hr for hour so x = v avg t =

During the second part of the trip then we travelled at 50 km/hr for hour so x = v avg t = PH 2213 : Chapter 02 Homework Solutions Problem 2.6 : You are driving home from school steadily at 90 km/hr for 130 km. It then begins to rain and you slow to 50 km/hr. You arrive home after driving 3

More information

Chapter 2: Motion in One Dimension

Chapter 2: Motion in One Dimension Chapter : Motion in One Dimension Review: velocity can either be constant or changing. What is the mathematical meaning of v avg? The equation of a straight line is y = mx + b. From the definition of average

More information

IB PHYSICS SL SEMESTER 1 FINAL REVIEW

IB PHYSICS SL SEMESTER 1 FINAL REVIEW Class: Date: IB PHYSICS SL SEMESTER 1 FINAL REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A rocket is fired vertically. At its highest point,

More information

Lecture 2. 1D motion with Constant Acceleration. Vertical Motion.

Lecture 2. 1D motion with Constant Acceleration. Vertical Motion. Lecture 2 1D motion with Constant Acceleration. Vertical Motion. Types of motion Trajectory is the line drawn to track the position of an abject in coordinates space (no time axis). y 1D motion: Trajectory

More information

Chapter 3. Motion in One Dimension

Chapter 3. Motion in One Dimension Chapter 3 Motion in One Dimension Outline 3.1 Position, Velocity and Speed 3.2 Instantaneous Velocity and Speed 3.3 Acceleration 3.4 Motion Diagrams 3.5 One-Dimensional Motion with Constant Acceleration

More information

Chapter 2. Motion along a straight line

Chapter 2. Motion along a straight line Chapter 2 Motion along a straight line Introduction: Study of the motion of objects Physics studies: Properties of matter and energy: solid state physics, thermal physics/ thermodynamics, atomic physics,

More information

ANIL TUTORIALS. Motion IMPORTANT NOTES ANIL TUTORIALS,SECTOR-5,DEVENDRA NAGAR,HOUSE NO-D/156,RAIPUR,C.G,PH

ANIL TUTORIALS. Motion IMPORTANT NOTES ANIL TUTORIALS,SECTOR-5,DEVENDRA NAGAR,HOUSE NO-D/156,RAIPUR,C.G,PH Motion 1. Rest : When a body does not change its position with respect to time and its surroundings, the body is said to be at rest. 2. Motion : When a body continuously changes its position with respect

More information

Chapter 2: Kinematics

Chapter 2: Kinematics Section 1 Chapter 2: Kinematics To simplify the concept of motion, we will first consider motion that takes place in one direction. To measure motion, you must choose a frame of reference. Frame of reference

More information

CHAPTER 2 TEST REVIEW

CHAPTER 2 TEST REVIEW AP PHYSICS Name: Period: Date: DEVIL PHYSICS BADDEST CLASS ON CAMPUS 50 Multiple Choice 45 Single Response 5 Multi-Response Free Response 3 Short Free Response 2 Long Free Response AP EXAM CHAPTER TEST

More information

AP Physics 1: MIDTERM REVIEW OVER UNITS 2-4: KINEMATICS, DYNAMICS, FORCE & MOTION, WORK & POWER

AP Physics 1: MIDTERM REVIEW OVER UNITS 2-4: KINEMATICS, DYNAMICS, FORCE & MOTION, WORK & POWER MIDTERM REVIEW AP Physics 1 McNutt Name: Date: Period: AP Physics 1: MIDTERM REVIEW OVER UNITS 2-4: KINEMATICS, DYNAMICS, FORCE & MOTION, WORK & POWER 1.) A car starts from rest and uniformly accelerates

More information

Kinematics 2. Kinematics Equations. How to solve a Physics problem:

Kinematics 2. Kinematics Equations. How to solve a Physics problem: Kinematics Equations Kinematics 2 How to solve a Physics problem: What is the question asking for? List the given quantities with units Equation Substitution with units Solution with units Does the answer

More information

General Physics (PHY 170) Chap 2. Acceleration motion with constant acceleration. Tuesday, January 15, 13

General Physics (PHY 170) Chap 2. Acceleration motion with constant acceleration. Tuesday, January 15, 13 General Physics (PHY 170) Chap 2 Acceleration motion with constant acceleration 1 Average Acceleration Changing velocity (non-uniform) means an acceleration is present Average acceleration is the rate

More information