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A rocket has total mass ??I= 4 × 105 kg at the time of ignition; 95%...

A rocket has total mass ??I= 4 × 105
kg at the time of ignition; 95% of
this mass is fuel. After ignition, gas is ejected at a constant rate of 1200 kg/s with an ejection
speed of 3 × 103 m/s. The rocket is launched vertically from the surface of the earth. Ignore air
drag and assume gravity is constant when answering the following.
a) (2 points) How long after ignition does the rocket lift off and how much fuel is burned
during this time?
b) (4 points) What is the time to burnout after lift-off and how fast is the rocket traveling at
burnout?
c) (4 points) What is the altitude of the rocket at burnout?

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