Rocket Propulsion in Free Space
A rocket of initial mass M₀ starts from rest in free space and ejects gas at a constant rate dm/dt. The gas has a constant exhaust velocity u relative to the rocket. Which of the following gives the velocity of the rocket at time t?
A
u ln(M₀/M(t))
B
u(1-e^(-t/(M₀/(dm/dt))))
C
u(M₀-M(t))/M₀
D
Zero
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