From the formula for total energy E = (mv ^ 2) / 2-mgh, express the speed v. All values are positive.

We multiply everything by two, we get
2 * E = m * v ^ 2-2 * m * g * h
We secrete an unknown quantity
2 * E + 2 * m * g * h = m * v ^ 2
Divide the left and right sides by m
v ^ 2 = (2 * E + 2 * m * g * h) / m
Extracting the root
v = √ ((2 * E + 2 * m * g * h) / m)



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