The Saturn V rocket, which was used to launch the Apollo spacecraft on their way to the Moon, has an initial mass M0 = 2.80·106 kg and a final mass M1 = 8.00 ·106 kg and burns fuel at a constant rate for 160. s. The speed of the exhaust relative to the rocket is about v = 2700. m/s.
a) Find the upward acceleration of the rocket, as it lifts off the launch pad (while its mass is the initial mass).
b) Find the upward acceleration of the rocket, just as it finishes burning its fuel (when its mass is the final mass).
c) If the same rocket were fired in deep space, where there is negligible gravitational force, what would be the net change in the speed of the rocket during the time it was burning fuel?
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