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/r2
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 m2/s2 at the given altitude.
How do I proceed to determine speed at this altitude?
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