$H=4m,$ and $V_1=3\frac{m}{s}.$ Neglecting losses and assuming

uniform flow at sections $1$ and $2,$ find the downstream

depth $h_2,$ and show that two realistic solutions are possible.

P$3\mathrm{.}140$

Note: The multiple solutions correspond to supercritical$/$subcitical free surface flows, and these

differences may be exploited by civil engineers when designing open channels like the spillway above.

Transition can occur between the supercritical$/$subcitical flow heights $($always going from low to high$)$ and

is called a hydraulic jump. An example that you can generate in your sink is illustrated below. Is there

also an unrealistic solution to this problem?