Physics, 15.05.2021 02:30 ma870640

A nonrotating spherical planet with no atmosphere has mass M and radius R. A projectile of mass m is launched radially from the surface of the planet with initial speed $v=\sqrt{GM/2R}$ . The potential energy of the projectile-planet system, as a function of the projectile’s distance r from the center of the planet, is given by $U=-\frac{GMm}{r}$ . The greatest distance from the center of the planet that the projectile reaches is A) infinity
B) R
C) 7/5 R
D) 4/3 R
E) $\sqrt{2}$ R

I know the answer is D, 4/3 R, but I'm not sure how to get to that answer.

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A nonrotating spherical planet with no atmosphere has mass M and radius R. A projectile of mass m is...

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