Please see the schematic below. Consider that we use a circular water pipe of a uniform diameter of $10cm$ to supply water to a small irrigation channel in our vegetable garden. Water is discharged from the pipe nozzle with a circular diameter of $6cm$ into the irrigation channel. This pipe is horizontal $($i$.$e$.$ in $x-y$ plane; see the coordinate axis provided in the schematic$)$ and anchored at A$.$ Water flow speed and gauge pressure at Point $1$ are $1\frac{m}{s}$ and $1\mathrm{.}5$kPa, respectively. If we drill a circular opening of $1cm$ in diameter at the top part of the pipe at Point $2$ as shown in the schematic such that water shoots up vertically $($i$.$e$.+z$ direction$),$ calculate:

$($a$)$ the vertical elevation $h$ to which water shoots up$.$

$($b$)$ the speed of water discharged from the nozzle, $U_3.$

$($c$)x$ and $y$ components of the anchoring force at Point A needed to keep the pipe stationary.

$[$density of water, ${}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1000k\frac{g}{m^3}$; atmospheric pressure outside the pipe throughout$]$