A model rocket has a mass of 3.00 kg. It is fired so that when it is 220 m above the ground it is travelling vertically upward at 165 m/s. At that point its fuel runs out so that the rest of its flight is without power. Assuming that the effect of air friction is negligible and that all potential energies are measured from the ground.
(a) How far above the ground is the rocket at its highest point?
(b) When it hits the ground, what is its speed?