A toy rocket is launched (from the ground) vertically upward with a constant acceleration of 30.0 m/s2. After traveling 1000 m, its engines stop. When it reaches the very top of its motion, it falls for 0.500 s before a parachute deploys and it descends safely to the ground at the speed it has at that time.
(a) What is the maximum altitude reached by the rocket?
(b) How long does the rocket take to get to its maximum altitude?
(c) How long does the total trip, from launch to ground impact, take?