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**v**, starting from a distance

_{0}**r**. The object also experiences gravitational acceleration. Is it possible to obtain an expression of

_{0}**r**as a function of t? In other words, whats the distance from the Earth at a time t?

I tried solving this second order differential equation:

d

^{2}

**r**/dt

^{2}= GM/

**r**

^{2}

I ended up with a mess of stuff. And it seems impossible to make

**r**the subject of the equation.