I've been told this is a differential equation, but I have no knowledge of the subject, so I'm hoping it is and that an answer can be found in this forum. The two equations x=1/2at(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}and a=gm/r^{2}, when r is replaced with (r_{0}-x), with r_{0}being the initial radius from the mass from which the gravitational field originates, and x being the distance traveled since t=0, due to the acceleration of the field. Combining these equations gives

x=1/2(gm/(r_{0}-x)^{2})t^{2}

I don't know how to solve that equation for x, and I'm hoping this is the place to look for help. Thanks.

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# Position as a function of time throught a varying gravitational field

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