Examine the following position time graph: time A The graph shows an object is at rest and velocity is zero. (B The graph shows an object's velocity is constant and positive. The graph shows an object's velocity is changing and accelerating. D The graph shows an object's velocity is constant and negative. position

Examine the following position time graph: time A The graph shows an object is at rest and velocity is zero. (B The graph shows an object's velocity is constant and positive. The graph shows an object's velocity is changing and accelerating. D The graph shows an object's velocity is constant and negative. position

Name: Examine the following position time graph:timeA The graph shows an ob
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Description: Examine the following position time graph:timeA The graph shows an object is at rest and velocity is zero.B The graph shows an objects velocity is constant and positive.The graph shows an object's velocity is changing and accelerating.D The graph sh

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter2: Motion In One Dimension

Section2.1: Displacement, Velocity, And Acceleration

Problem 2.2QQ: True or False? (a) A car must always have an acceleration in the same direction as its velocity. (b)...

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PROBLEM A race car starting from rest accelerates at a constant rate of 5.00 m/s2, (a) What is the velocity of the car after it has traveled 1.00 102 ft? (b) How much time has elapsed? (c) Calculate the average velocity two different ways. STRATEGY Weve read the problem, drawn the diagram in Figure 2.16, and chosen a coordinate system (steps 1 and 2). We'd like to find the velocity v after a certain known displacement x. The acceleration a is also known, as is the initial velocity v0 (step 3, labeling, is complete), so the third equation in Table 2.4 looks most useful for solving part (a). Given the velocity, the first equation in Table 2.4 can then be used to find the time in part (b). Part (c) requires substitution into Equations 2.2 and 2.7, respectively. Figure 2.16 (Example 2.4) SOLUTION (a) Convert units of x to SI, using the information in the inside front cover. Write the kinematics equation for v2 (step 4): Solve for v, taking the positive square root because the car moves to the right (step 5): Substitute v0 = 0, a = 5.00 m/s2, and x = 30.5 m: 1.00 102ft = (1.00 102 ft) v2 = v02 + 2a x v = v02+2ax v = v02+2ax = (0)2+2(5.00m/s2)(30.5m)= 17.5 m/s (b) Find the trooper's speed at that time. Substitute the time into the troopers velocity equation: vtrooper = v0 + atrooper t = 0 + (3.00m/s2)(16.9s) = 50.7 m/s Solve Example 2.5, Car Chase, by a graphical method. On the same graph, plot position versus time for the car and the trooper. From the intersection of the two curves, read the time at which the trooper overtakes the car.
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