I need a formula that can be used in a C++ program that will find how long it will take an object to freefall from a given height. Not the velocity upon impact, but the duration of the fall. Also, please give what each variable means.
Gravitational acceleration in terms of time, written in C++?
If you want to just use simple kinematics equations. You can find it using the two formulas
Vf^2 = Vi^2 + 2ad
and
Vf = Vi + at
If your starting from rest then you have
t = sqrt(2ad)/a (or in C++ t = sqrt(2 * a * d) / 2; assuming you include cmath and all the variables are float or double)
Where t = time
a = acceleration
d = height
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