Water flows down a long rectangular open channel $2\mathrm{.}5$ m wide with a total

discharge of $1\mathrm{.}5$ m$3/$s$.$ The Manning coefficient is n$=0\mathrm{.}014$ and the

longitudinal slope is half of the critical slope. The flow is originally uniform

but it gradually evolves as it approaches a free fall

Calculate the critical depth.

Calculate the critical slope Sc$.[2]$

$($c$)$ Calculate the normal depth. $[6]$

$($d$)$ Determine the flow$$s regime. $[2]$

$($e$)$ Classify the water profile explaining the reasons behind your choice. $[5]$

$($f$)$ Draw a sketch of the side view of the channel as it transitions towards the

free fall.