At time t= 0, a 2150-kg spacecraft in outer space fires an engine that exerts anincreasing force on it in the +x-direction. This force obeys the equation Fx=At^2, where t is time, and has a magnitude of 781.25 N when t= 1.25 s. Assume that the spacecraft has zero velocity at t= 0.
(a) Find the value of the constant A, including its units.
(b) What impulse does the engine exert on the spacecraft during the 1.5 s interval starting 2.0 s after the engine is fired?
(c) By how much does the spacecraft's velocity change during this interval?
(d) How much work is done by this force during this same time interval?