Question: A rocket of initial weight 7300 lb, including 4000 lb of fuel, is fired vertically at time t = 0. The fuel is consumed at

A rocket of initial weight 7300 lb, including 4000 lb of fuel, is fired vertically at time t = 0. The fuel is consumed at a constant rate of 260 lb/s and is expelled at a constant speed of 1500 ft/s relative to the rocket. Determine the altitude of the rocket when all the fuel has been consumed.

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