For the system shown below, the outflow is $0\mathrm{.}2$ m$3/$s$.$ The diameter of the pipe is $60$ cm and that of the spout is $10$ cm$.$ The elevations are x$=1\mathrm{.}0$m$,$ y$=1\mathrm{.}5$m and z$=6\mathrm{.}0$m$.$ Total losses are estimated at $0\mathrm{.}5$m$.$ Determine the velocity in the pipe, the velocity at the outlet of the pipe, and the pressure head at point $2($P$2/$y$).$ Assume $=1.$