. A rocket launched vertically upward accelerates uniformly for 50 s until it reaches a velocity of 200 m/s [up]. At that instant, its fuel runs out. (a) Calculate the rocket's initial acceleration. (b) Calculate the height of the rocket when its fuel runs out. (c) Explain why the rocket continues to gain height for 20 s after its fuel runs out. (d) Calculate the maximum height of the rocket.