Solve Problem $4\mathrm{.}11$ in the text, or see below.

A reservoir of water is connected to an $8-$inch$-$diameter pipe $50$ feet long

and discharging freely. The water surface elevation of the reservoir is

$410\mathrm{.}0,$ and the elevation of the center of the pipe at its discharge end is

$372\mathrm{.}5.$ Neglecting friction, determine the velocity, $v,$ and discharge, $Q,$ at

the end of the pipe.