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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

**Physics Forums | Science Articles, Homework Help, Discussion**