An automobile and a truck start from rest at the same instant, with the automobi

Question

An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. The truck has a constant acceleration of 2.07 m/s^2, and the automobile an acceleration of 3.34 m/s^2. The automobile overtakes the truck after the truck has moved a distance 38.0How much time does it take the automobile to overtake the truck? What is the speed of the truck when they are abreast? How far was the automobile behind the truck initially? What is the speed of the automobile when they are abreast?

Explanation / Answer

answer::::::::: After time t, each automobile has traveled (1/2)at^2 (assuming they have 0 velocity initially), with different "a"s for each vehicle. Their difference is (1/2)t (3.46-2.04) by factoring out the t/2. Set this equal to 35 and solve for t. You are done with (a). To solve (b), first find the distance traveled by each vehicle by using the equation s = (1/2)at^2. You know both a and t. Find the difference and you are done. To solve (c), you know the time t when they are abreast, so use the equation v = at to find v (You know both a and t; a the acceleration for the truck). To solve (d), do what you did to solve (c).

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