A rocket with mass 1000kg accelerates upwards at a rate of

Question

Solve the all parts of following problem given below:

Problem: A rocket with mass 1000kg accelerates upwards at a rate of 20m/s².

Part A: How long does it take before it is going at the speed of sound (334 m/s)?

Part B: How long does it take before the rocket is at a height of 100km?

Part C: When it reaches the height of 100km, how fast is it going?

Part D: What is the net force acting on the rocket as it is rising?

Part E: The rocket engines then turn off and the rocket is in free fall, What is the net force acting on the rocket

Please break down every step and do not skip over anything - I have been at this problem awhile and keep getting hung up. Thanks for the help!