I know that for short distances from the earth's surface, x=-1/2gt^2+vt+x works fine for finding the time it takes for an object to fall a certain distance ignoring air resistance.(adsbygoogle = window.adsbygoogle || []).push({});

However, what if the distance is many times the earth's radius?

The only thing I can think of to start solving this problem is f''(t)=GM/(f(t))^2, but try as I might, I cannot solve that to evaluate the time and object takes to fall, say, a distance, r. How can I accomplish this?

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# Time for an object to fall to a larger one

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