A 60 kg model rocket lifts off by expelling fuel downward at a rate of k 4 75 kg s for 7 s The fuel leaves the end of the rocket

Question

A 60 kg model rocket lifts off by expelling fuel downward at a rate of k 4 75 kg s for 7 s The fuel leaves the end of the rocket with an exhaust velocity of b 100 m s Let m t be the mass of the rocket at time t From the law of conservation of momentum the following differential equation for the rocket s velocity u t in meters per second is obtained m t v t 9 8m t b dm 7 dt Compute the rocket s velocity at rocket burnout after 7 s Use decimal notation Give your answer to three decimal places m s

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