A rocket is launched at an angle of 53.0° above the horizontal with an initial
speed of 100 m/s. The rocket moves for 3.00 s along its initial line of motion
with an acceleration of 30.0 m/s². At this time, its engines fail and the rocket
proceeds to move as a projectile. Find (a) the maximum altitude reached by the
rocket, (b) its total time of flight, and (c) its horizontal range.