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How would one find the velocity at any given point, I have DE next semester, but we did some first order ones, so I would think it is something like:

V^2 = 2A?Y*

*Ball dropped from rest so Vo is zero

A is the acceleration caused from the earth, but it would constantly be changing, wouldnt that be an unknown derivative?

V^2 = 2?R(dg/dr)

I attempted to solve it, I got:

V = sqrt((Gm/R)/ln(2R))

which doesnt make sense....