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Unformatted text preview: le (txl65) Homework 1 Spurlock (11881) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points The velocity of a particle moving along the x axis is given by v x = a t- b t 3 for t > , where a = 25 m / s 2 , b = 1 . 6 m / s 4 , and t is in s. What is the acceleration of the particle when it achieves its maximum displacement in the positive x direction? Correct answer:- 50 m / s 2 . Explanation: The time when it achieves maximum dis- placement is when its velocity is 0: v = a t- b t 3 = 0 t ( a- b t 2 ) = 0 . t = radicalbigg a b = radicalBigg 25 m / s 2 1 . 6 m / s 4 = 3 . 95285 s . The acceleration at this particular time is a x = d v x dt = d ( a t- b t 3 ) dt = a- 3 b t 2 = a- 3 a =- 2 a =- 2 (25 m / s 2 ) =- 50 m / s 2 . 002 (part 1 of 2) 10.0 points The velocity of a particle moving along the x axis varies in time according to the expression v ( t ) = - t 2 where...
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- Spring '11