I have a pretty basic problem regarding kinematics, but I'm new to physics. So, I'm having trouble with it. No, it is not homework. These are review problems, but this particular one is troubling me.
An ice sled powered by a rocket engine starts from rest on a large frozen lake and accelerates at 14 m/s^2. At t1 the rocket engine is shut down and the sled moves with constant velocity v until t2. The total distance traveled by sled is 1120m, and the total time is 14s. What is t1 and v?
How would I attempt to do this problem? A step-by-step procedure would be appreciated.