A hydraulic jump is created over a dropping step as shown in Figure $3.$ The step is of height $=0\mathrm{.}5$m$.$The flow depth is h$,=0\mathrm{.}5$m before the step and flow velocity is V $=10$ m$/$s$.($i$)$ Assume that the step is subject to a hydrostatic pressure distribution. Find the downstream waterdepth after jump. Use iterations where applicable. $[20$ points$]$

$($ii$)$ Find the head loss due to the jump. $[5$ points$]$