Question $3.(30$ Points$)$: The figure given below shows the profile of a $10-$m$-$wide rectangular channel.

Hydraulic jump occurs between Section $(1)$ and Section $(2)$ of the rectangular channel. The water depth

and flow velocity before the hydraulic jump are $0\mathrm{.}8m$ and $7\frac{m}{s},$ respectively. Accordingly,

a$)(10$ Points$)$ Determine the Froude Number before the hydraulic jump and then classify the flow.

b$)(15$ Points$)$ Calculate the water depth and the Froude Number after the hydraulic jump.

c$)(5$ Points$)$ Determine the head loss due to the hydraulic jump.