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Free fall is any motion of a body where gravity is the only force acting upon it. In general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it.
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The acceleration due to gravity - differential equation [duplicate]
The law of universal gravitation states:
$$\vec{F}=-\frac{GMm}{r^2}\hat{r}$$
where we have the familiar $m$ for the small mass and $M$ for the big mass, $r$ being the distance between the center of m …