Answer to Question #154345 in Mechanics | Relativity for David

Question

1.For a body dropped from a height, h, the speed, V,with which it strikes the ground depends only on h and g and a dimensionless numerical factor. Obtain an expression connecting v, h and g.

Answer 1

$h=\frac{gt^2}{2},$

$v=gt, ~t^2=\frac{v^2}{g^2},$

$h=\frac{gv^2}{2g^2}=\frac{v^2}{2g},$

$v=\sqrt{2gh}.$