At time t = 0, a 2210 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_x=At², where t is time, and has a magnitude of 781.25 N when t = 1.39 s.

1. Find the SI value of the constant A. Express your answer in Newton per second squared

A= _____ N/s²

2. What impulse does the engine exert on the rocket during the 1.50 s interval starting at 2.00 s after the engine is fired? Express your answer with the appropriate units.

J_x=

3. By how much does the Rockets velocity change during this interval? Assume constant mass. Express your answer with the appropriate units

v_x=