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A small sounding rocket has an initial mass of M=3200kg (80% of which is fuel) and...

A small sounding rocket has an initial mass of M=3200kg (80% of which is fuel) and burns fuel at a rate of 20 kg/s. The exhaust velocity of the gas ejected from the rocket is Uex=2000m/s.

a. Find the thrust of the rocket motor.

b. Find the time until burnout.

c. Find the speed of the rocket at burnout assuming that the rocket moves straight up and stays close enough to Earth's surface that the gravitational acceleration is always g=9.81m/s^2

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