Asked by Avery

A non-rotating spherical planet with no atmosphere has a mass M and radius R. A particle is fired off from the surface with a speed equal to 3/4 the escape speed. Calculate the farthest distance it reaches (measured from the center of the planet) if it is fired tangentially. I know how solve it if fired radially, but I don't know how to do it if the particle is fired tangentially.

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