Water flows in a rectangular channel of width $5m$ at a velocity of $3\frac{m}{s}$ and

depth of $4m$ upstream of a sluice gate.

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

$($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 sluice gate.

$b=5m$