A rectangular channel $($b $=12$ ft$,$ n $=0\mathrm{.}012)$ carries $1,000$ ft$/$sec on a slope of $5\%.$

a$.)$ Determine flow type using both normal depth and Froude number.

b$.)$ If channel transitions to a nearly horizontal section $($S $=0\mathrm{.}05\%)$ to cause a hydraulic jump, calculate downstream normal depth $($Drw$)$ after jump.

c$.)$ Calculate energy loss through channel transition.