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## Homework Statement

A projectile of mass m is fired from the surface of the earth at an angle α from the vertical, where α = 0.34 radians. The initial speed v0 is equal to √{GM/Rearth}. Calculate the maximum height that the projectile will reach. Neglect air resistance and the earth's rotation. Express the result as the ratio to the radius of the Earth.

## Homework Equations

U_G=(GMm)/R

KE=.5mv

_{0}

^{2}

## The Attempt at a Solution

So i believe that the fact that it is fired at an angle is irrelevant because earth's gravitational field is in all directions.

Then i just equated the energy equations and solved for R, however this did not yield the correct answer. THoughts?