An ice sled powered by a rocket engine starts from rest on a large frozen lake and accelerates at +41 ft/s2. After some time t1, the rocket engine is shut down and the sled moves with constant velocity v for a time t2. Assume the total distance traveled by the sled is 15900 ft and the total time is 90 s.
(a) Find the times t1 and t2.
(b) Find the velocity v.
(c) What is the final position of the sled when it comes to rest?
(d) What is the duration of the entire trip?