At time t0 a 2150-kg rocket in outer space fires an engine

Question

Illustrate the solution of the given problem

Problem- 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 Fx = At², where t is time, and has a magnitude of 781.25 N when t = 1.25 s. a)

Part 1- Find the SI value of the constant A, including its units.

Part 2- What impulse does the engine exert on the rocket during the 1.50 s interval starting 2.00 s after the engine is fired?

Part 3- By how much does the rockets velocity change during this interval?

I need help to implement the solution of the above problem.