At what rate must a rocket burn fuel in order to achieve an upward acceleration

Question

At what rate must a rocket burn fuel in order to achieve an upward acceleration of 3.5 g while near the Earth’s surface assuming that its mass is 250,000 kg and that the oxidized fuel leaves the engine at 18,000 m/s? At what rate must a rocket burn fuel in order to achieve an upward acceleration of 3.5 g while near the Earth’s surface assuming that its mass is 250,000 kg and that the oxidized fuel leaves the engine at 18,000 m/s? At what rate must a rocket burn fuel in order to achieve an upward acceleration of 3.5 g while near the Earth’s surface assuming that its mass is 250,000 kg and that the oxidized fuel leaves the engine at 18,000 m/s?

Explanation / Answer

M*a = -vdm/dt

dm/dt = 250000 * 3.5 g / 18000

dm/dt = -476.39 kg/s

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