Question: A rocket is fired vertically from the surface of the moon with a speed v0. Derive a formula for the ratio hn/hu of heights reached

A rocket is fired vertically from the surface of the moon with a speed v0. Derive a formula for the ratio hn/hu of heights reached with a velocity v, if Newton’s law of gravitation is used to calculate hn and a uniform gravitational field is used to calculate hu . Express your answer in terms of the acceleration of gravity gm on the surface of the moon, the radius Rm of the moon, and the speeds v and v0.

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