A heavy truck is barreling down the freeway at 92 fts upon

Question

Compute all parts of given problem:

Problem: A heavy truck is barreling down the freeway at 92 ft/s. Upon seeing a stalled vehicle blocking the road, he brakes hard, decelerating at 13.7 ft/s². At the time he applies the brakes, the stalled vehicle is 240 ft ahead of him. When the trucker has been on the brakes for 2.46 s, the stalled vehicle gets started, and accelerates away at 10.2 ft/s.

Part A; Draw a velocity vs time graph showing the curves for both vehicles.

Part B: Find the total distance required for the truck to come to a complete stop.

Part C: How far has the truck traveled (closed the gap) at the time that the car begins moving?

Part D: Does the trucker escape the rear-end collision? (HINT: you need the information from Part (c) above. Be sure to show all reasoning and the calculation.

Please, try to give explanation. Thanks.