A rocket accelerates by burning its onboard fuel, so its massdecreases with time. Suppose the initial mass of the rocket atliftoff (including its fuel) is m, the fuel is consumed at rate r,and the exhaust gases are ejected with constant velocity ve(relative to the rocket). A model for the velocity of the rocket attime t is given by the equation below where g is the accelerationdue to gravity and t is not too large.

A rocket accelerates by burning its onboard fuel, If g = 9.8m/s2, m = 30000 kg,
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