A rocket is launched at an angle of è = 48° above the horizontal with an initial speed vi = 62 m/s, as shown below. It moves for 25 s along its initial line of motion wth an acceleration of 25.6 m/s2. At this time, its engines fail and the rocket proceeds to move as a free body.

(a) What is the rocket's maximum altitude?
(b) What is the rocket's total time of flight?
(c) What is the rocket's horizontal range?