How do you calculate velocity given mass and height and GPE

Question

I need to calculate KE, ME, and velocity given GPE, mass and height

Answer 1

Equate 0.5mv² to mgh and obtain v²/2 = gh or v is (2gh)^0.5.

An iron block of 10 kilograms released 10 meters above the ground on Earth

increases in velocity by 9.80665 meters per second every second that it

remains in free fall.

Just before release, the block's Gravitational Potential Energy or GPE is given by

10 kg x 9.80665 m/s² x 10 m which goes to 980.665 kg•m²/s² or 980.665 Joules

(where 1 Joule is a Force of 1 Newton driving through a Distance of 1 Meter).

Just before ground impact the block's Kinetic or Mechanical Energy is given by

0.5mv² or 0.5 x 10 kg x (2 x 9.80665 m/s² x10 m)^{(0.5 x 2)} or 980.665 kg•m²/s²

or 980.665 Joules which matches GPE found above. The Velocity sought just

before ground impact is (2gh)^0.5 or 14.00474919 meters per second.