Solve each parts of given question:
Question: A catapult launches a rocket at an angle of 50.8° above the horizontal with an initial speed of 89 m/s. The rocket engine immediately starts a burn, and for 3.24 s the rocket moves along its initial line of motion with an acceleration of 32.3 m/s2. Then its engine fails, and the rocket proceeds to move in free-fall.
Part A: Find the maximum altitude reached by the rocket.
m
Part B: Find its total time of flight.
s
Part C: Find its horizontal range.
m
I need help to find the maximum altitude reached by the rocket.