Question

A 2 stage rocket launches off at an initial angle of 75 degrees above the horizontal. The rocket has a mass of 250 kg, while the stage 1 has a mass of 125 kg, and the stage 2 booster has a mass of 50 kg. At ignition the stage 1 booster gives the rocket a thrust of 34,652 N for 14 seconds. Then the stage 1 booster falls off and the stage 2 booster immediately fires. The stage 2 booster gives the rocket a thrust of 15,000 N for a length of 8 seconds. Then the stage 2 booster falls off and the rocket is now a projectile for the rest of its flight until it crashes into the ground. Assume the rocket went in a straight lin during the boosters firing.

a) How high did the rocket go?
b) How dar out did the rocket go?
c) How long was it in the air?