(a) A Saturn V rocket m = 2 x 10⁶ kg after launching has stopped burning fuel at a height of 10,000 m and is travelling straight up with a velocity of 600 m/s. How high does the rocket get? (5 Marks)

(b) Suppose after stopping burning fuel and reaching its maximum height (which is not sufficient to enter orbit). How fast is it going when it falls back to the ground? (4 Marks)

(c) When the rocket is on earth and lifting off and burning fuel, which of the following is or are conserved? Mark all that apply and provide a brief 1-2 sentence justification of your choices. (4 Marks)  Momentum of the rocket 

 Mechanical energy of the rocket 

 Momentum of the rocket + exhaust + Earth system 

 Mechanical energy of the rocket + exhaust + Earth system

(d) When the rocket no longer burns fuel (but is still near Earth), which of the following is or are conserved? Mark all that apply and provide a brief 1-2 sentence justification of your choices. (3 Marks)

 Momentum of the rocket

 Mechanical energy of the rocket

 Momentum of the rocket + exhaust + Earth system

 Mechanical energy of the rocket + exhaust + Earth system