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## Homework Statement

The Moon has a mass of M= 7.0E22 kg and a radius of R=1.75E6 m. A projectile with

mass m=10 kg is shot straight up from the Moon’s surface with an initial speed of 500 m/s. What is the maximum distance from the center of the Moon that this projectile can reach?

## Homework Equations

E_initial=E_final

Kinetic_initial=Grav_potential

.5mv^2=GMm/r

## The Attempt at a Solution

Thinking through this I believe this is wrong, because essentially that is the equation for escape velocity. We don't know for sure that this rocket will escape... I am lost...