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Unformatted text preview: lenoir (wml297) oldhomework 04 Turner (58220) 1 This printout should have 12 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points The velocity v ( t ) of some particle is plotted as a function of time on the graph below. The scale on the horizontal axis is 3 s per division and on the vertical axis 5 m / s per division. Initially, the particle is at x = 35 m. 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 v ( t ) time ( 3 s) velocity( 5m / s) What is the position x of the particle at time t = 12 s? Correct answer: 185 m. Explanation: Looking at the v ( t ) plot we see that over time t = 4 (3 s) = 12 s, the particles velocity decreases from the initial v = 4 (5 m / s) = 20 m / s to final v f = 1 (5 m / s) = 5 m / s . The v ( t ) line is straight, which indicates constant deceleration rate, so the average velocity is given by v = v + v f 2 = 20 m / s + 5 m / s 2 = 12 . 5 m / s , the particles displacement is x = t v = (12 s) (12 . 5 m / s) = 150 m , and its final position x = x + x = 35 m + 150 m = 185 m . 002 (part 2 of 2) 10.0 points What is the particles acceleration? Correct answer: 1 . 25 m / s 2 . Explanation: The average acceleration of the particle is a = v t = v f v t = 5 m / s 20 m / s 12 s = 1 . 25 m / s Since the v ( t ) line is straight, the acceleration is constant, so a = a = 1 . 25 m / s 2 . 003 (part 1 of 2) 10.0 points A speeder passes a parked police car at 31.6 m/s. Instantaneously, the police car starts from rest with a uniform acceleration of 2.46 m/s 2 . a) How much time pases before the speeder is overtaken by the police car? Correct answer: 25 . 6911 s. Explanation: Basic Concepts: For the speeder, x s = v s t For the policeman, v i = 0 m/s, so the equa tion simplifies to x p = 1 2 a p ( t ) 2 Let : v s = 31 . 6 m / s v i,p = 0 m / s a p = 2 . 46 m / s 2 ....
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This note was uploaded on 04/15/2010 for the course PHY 12343 taught by Professor Turner during the Spring '10 term at University of Texas at Austin.
 Spring '10
 Turner

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