With what muzzle speed must a projectile be fired vertically from a
gun on the surface of the Earth if it is to (barely) reach the distance of
the Moon?
Neglect the gravity of the Moon, neglect atmospheric friction, and neglect
the rotational velocity of the Earth in the following problem.
I am totally clueless as to how to approach the problem. i tried -GMm/r=1/2mv^2 but the answer is not correct.

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@JFraser How can I use equations of motion when the value of g is not constant.

assume that it is

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