We know that, with gravity for example, that ma = GmM/r^2. For simplicity's sake and the sake of my question, let us say that a=c/r^2, where c is GM. Basically, I am wondering how I can use this to create the most accurate displacement equations possible. My problem, however, is that a is dv/dt...or dx^2/dt^2, but I doubt you can do dx^2/r=cdt^2 and integrate twice or whatnot.(adsbygoogle = window.adsbygoogle || []).push({});

Does anyone have some clarity? I have though to do a=c/(r-x)^2, where r is the initial distance and x is the distance traveled, but that still yields nothing helpful.

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

Dismiss Notice

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!

# Using changing acceleration due to gravity?

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