Trying to determine the speed of a falling body with respect to traveled distance and initial speed. I've been provided with the following equation for acceleration as a function of distance and the grav. parameter(constant) of the attracting body :
$a=GM/r^2$
Where:
$a$ - acceleration.
$GM$ - gravitational parameter(constant).
$r$ - distance to the attracting body.
I have entered inputs for $GM$ and $r$ and integrated this equation with respect to $r$. This obviously yielded total acceleration per traveled distance, in other words $m^2/s^2$ at the given altitude.
How do I proceed to determine speed at this altitude?
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