Find the equation of motion for the rocket in free space, if it spews exhaust gasses at a velocity of vg (in rocket frame). Can you numerically solve by plugging in some rough numbers and plot velocity of rocket as a function of time?
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Acceleration of a rocket is a=vemΔmΔt−g a = v e m Δ m Δ t − g . The greater the exhaust velocity of the gases, the greater the acceleration. The faster the rocket burns its fuel, the greater its acceleration.
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