$(10)$ Since you are the "rookie" engineer at your company, the Yellowstone

River Hydraulic Engineering Company located in Billings, Montana, your

Boss wants to check on your skills. Your company has just completed

constructing an irrigation channel that delivers water from the Yellowstone

River to the Central Montana pea farmers located south of Billings. The

canal is rectangular, three meters wide and delivers a quantity of $15\frac{m^3}{s}.$

The slope over the five$-$mile canal is $0\mathrm{.}4\%$ and the channels roughness

coefficient is $0\mathrm{.}01.$ At a certain point in the channel flow reaches normal

depth. The Boss has asked you to calculate the following:

a$)$ The flow classification at normal depth. Is it supercritical or

subcritical?

b$)$ If a hydraulic jump is made to occur when the flow reaches normal

depth, what will be the sequential depth after the jump occurs?

c$)$ Estimate the energy head loss through the jump.