A pollution-sampling rocket is launched straight upward with rockets providing a constant acceleration of 12.0 m/s2 for the first 1000 m of flight. At that point the rocket motors cut off and the rocket itself is in free fall. Ignore air resistance.
(a) What is the rocket’s speed when the engines cut off?
(b) What is the maximum altitude reached by this rocket?
(c) What is the time it takes to get to its maximum altitude?