Water flows in a trapezoidal channel section, where $b=2\mathrm{.}7m,$ and $=32.$

Upstream of the spillway, the velocity of the flow is $2\mathrm{.}4\frac{m}{s}$ and the depth

is $1\mathrm{.}8m.$

$g=9\mathrm{.}81\frac{m}{s^2}$

$($a$)$ Determine the flow regime $($critical$,$ subcritical, or supercritical$)$ of the

upstream depth, $y_1.$

$($b$)$ Determine the flow regime of the downstream depth, $y_2.$

$($c$)$ Determine the critical velocity, $v_c$ and the minimum specific energy, $E_c$ at

the control.

$($d$)$ Determine the depth, $y_2$ and the velocity, $v_2$ of the water downstream of

the spillway.

$($e$)$ Determine $E_1$ and $E_2$ for the discharge,

$Q=v1A1=v2A2.$