# Problem: At time t = 0 a 2270-kg rocket in outer space fires an engine that exerts an increasing force on it in the +x-direction. This force obeys the equation Fx = At2, where t is time, and has a magnitude of 781.25 N when t exttip{t}{t}= 1.31  s.(a) Find the SI value of the constant A.(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.

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###### Problem Details

At time t = 0 a 2270-kg rocket in outer space fires an engine that exerts an increasing force on it in the +x-direction. This force obeys the equation Fx = At2, where t is time, and has a magnitude of 781.25 N when t = 1.31  s.
(a) Find the SI value of the constant A.
(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.