At time tt = 0 a 2270 kgkg rocket in outer space fires an engine that exerts an increasing force on it in the +x+x-direction. This force obeys the equation Fx=At2Fx=At2, where tt is time, and has a magnitude of 781.25 NN when ttt = 1.49 ss.(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 starting 2.00 s after the engine is fired?
(c) By how much does the rocket?s velocity change during this interval? Assume constant mass.