Two cars, A and B, travel in a straight line. The distance of A from the startin

Question

Two 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 xA(t) = alpha t + betat2, with alpha = 2.60 m/s and beta = 1.20 m/s2. The distance of B from the starting point is xB(t) = gammat2 - deltat3, with gamma = 2.80 m/s and delta = 0.20 m/s2. Which car is ahead just after they leave the starting point? At what time(s) are the cars at the same point? At what time(s) is the distance from A to B neither increasing nor decreasing? Express your answer numerically. If there is more than one answer, enter each answer separated by a comma. At what time(s) do A and B have the same acceleration? Express your answer numerically. If there is more than one answer, enter each answer separated by a comma.

Explanation / Answer

A) CAR A is ahead b) 2.6t^2+1.2t^2=2.8t^2-0.2t^3 =>t= 0,2.3 and 5.7 c)t= 1 and 13 d)t=2.666

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