A small rocket is launched vertically upward from rest. It rises with a constant upward acceleration of 5ms−2 for 8s, after which its engine shuts off and it moves under gravity alone (take g=10ms−2 downward). Neglect air resistance.
a. (i) Calculate the maximum height reached above the launch point.
b. (ii) Determine the total time from launch until the rocket returns to the launch point.