# AP-2-sva - AP CALCULUS PROBLEM SET#2(93-2 s-v-a 1 A...

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AP CALCULUS PROBLEM SET #2 s-v-a (93-2) 1. A particle moves on the x -axis so that its position at any time t > 0 is given by . ( ) 2 t xt te = (a) Find the acceleration of the particle at t = 0. (b) Find the velocity of the particle when its acceleration is 0. (c) Find the total distance traveled by the particle from t = 0 to t = 5. 3 (97-1) 2. A particle moves along the x -axis so that its velocity at any time is given by . The position x ( t ) is 5 for t = 2. 0 t 2 () 3 2 1 vt t t =−− (a) Write a polynomial expression for the position of the particle at any time . 0 t (b) For what values of t, , is the particle's instantaneous velocity the same as its average 0 t ≤≤ velocity on the closed interval [0, 3]? (c) Find total distance traveled by the particle from time t = 0 until time t = 3. (99-1) 3. A particle moves along the y-axis with velocity given by v ( t ) = . 2 sin( ) for 0 tt t (a) In which direction (up or down) is the particle moving at time t = 1.5 ? Why?

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AP-2-sva - AP CALCULUS PROBLEM SET#2(93-2 s-v-a 1 A...

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