Solve the all parts of given problem:
Problem: A rocket blasts off and moves upward with an acceleration of 11 m/s^2 until it reaches a height of 30m, at which point its engine shuts off and it continues its flight in free fall.
Part A: What is the maximum height attained by the rocket?
Part B: What is the speed of the rocket just before it hits the ground?
Part C: What is the total duration of the rocket's flight?
Any help I can get on this problem is greatly appreciated! I'm not too familiar with this problem.