Bonus Question Gravitation

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**Bonus Question** Gravitation

A 1000kg rocket sits on the surface of a earth like (same mass and radius - no atmosphere) planet. When fired, the rocket engines produce a force of 25 000N. The rocket is designed to reach an altitude of 580 km before the fuel runs out. If 1/2 of the rockets initial mass is from fuel, then calculate the maximum velocity the rocket achieves.
 

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What have you gotten so far?
 

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