Question: At time t = 0, a 2150-kg rocket in outer space fires an engine that exerts an increasing force on it in the + x-direction.

At time t = 0, a 2150-kg rocket in outer space fires an engine that exerts an increasing force on it in the + x-direction. This force obeys the equation F. = At2, where t is time, and has a magnitude of 781.25 N when t = 1.25 s.
(a) Find the SI value of the constant A, including its units.
(b) What impulse does the engine exert on the rocket during the 1.50-s interval stetting 2.00 s after the engine is fired?
(c) By how much does the rocket's velocity change during this interval?

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