Consider a $5-$m wide rectangular channel with a discharge of $12\mathrm{.}5$m$3$

$/$s$.$ The depth of flow upstream

of the step is $2\mathrm{.}5$ m$.$ There is a step rise of $0\mathrm{.}25$m in the bottom of the channel. $[10+5=15]$

$(1)$ Determine the flow depth downstream of the step assuming no transition losses.

$(2)$ Compute Froude numbers for the upstream and downstream of the step.