At time t=0, a 2650kg rocket in outer space fires an engine that exerts an increasing force on it in the + x direction. This force obeys the equation Fx=At^2, where 1.15sis time, and has a magnitude of 781.25N when t= 1.15s.
(a) What impulse does the engine exert on the rocket during the 1.50s interval starting 2.00s after the engine is fired?
(b) By how much does the rocket's velocity change during this interval?