The horizontal rectangular channel downstream of the sluice gate is $10$ ft wide, and the water discharge therein is $108$ cfs $.$ The water surface profile was computed by the direct step method. If a $1$ ft high sharp$-$crested weir is installed at the end of the channel, do you think a hydraulic jump would develop in the channel? If so$,$ approximately where would it be located? Justify your answers by appropriate calculations. Label any water surface profiles that can be classified.

Answer the following questions: $(1)$ Classify the profile below $($no weir yet$)$; $(2).$ Compute and verify the water surface profile given below $($Manning$\text{'}$s $n=0\mathrm{.}011).(3).$ Classify and label the water surface after installation of the gate $($water depth near the weir is $h_o+p).(4).$ Answer hydraulic jump question above.

$y_n=,y_c=(\frac{q^2}{g}{)}^{\frac{1}{3}}$

$Q=k_w\sqrt[\phantom{2}]{?}2g{L}_w{h}_o^{\frac{3}{2}}=108$

$=(0\mathrm{.}4+0\mathrm{.}05\frac{h_o}{p})**\sqrt[\phantom{2}]{2g}**L_w{h}_o^{\frac{3}{2}}$