A rock is dropped from rest from a height h above the ground. It falls and hits the ground with a speed of $11$ m$/$s$.$ From what height should the rock be dropped so that its speed on hitting the ground is $22$ m$/$s$?$ Neglect air resistance.

A$.$

$2\mathrm{.}0$h

B$.$

$4\mathrm{.}0$h

C$.$

$3\mathrm{.}0$h

D$.$

$0\mathrm{.}71$h

E$.$

$1\mathrm{.}4$h