Cars A and B travel in a straight line. The distance of A

Chapter 2, Problem 2.83

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Cars A and B travel in a straight line. The distance of A from the starting point is given as a function of time by xA1t2 = at + bt 2 , with a = 2.60 m>s and b = 1.20 m>s 2 . The distance of B from the starting point is xB1t2 = gt 2 - dt 3 , with g = 2.80 m>s 2 and d = 0.20 m>s 3 . (a) Which car is ahead just after the two cars leave the starting point? (b) At what time(s) are the cars at the same point? (c) At what time(s) is the distance from A to B neither increasing nor decreasing? (d) At what time(s) do A and B have the same acceleration?

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