Using standard formulae, derive an expression for the final speed of a falling object in terms of its change in height. Assume zero air resistance or other resistive forces.
Ek = (1/2)mv2
Ep = mg(dh)
Set these equal to each other, because of conservation of energy:
(1/2)mv2 = mg(dh)
Cancel the mass:
(1/2)v2 = g(dh)
v2 = 2g(dh)
v = (2g(dh))1/2
