$8.$ A lined trapezoidal canal has a longitudinal slope of $0\mathrm{.}01\%,$ side slopes of $2$:$1($H:V$),$ a bottom width of $3\mathrm{.}00$ m$,$ a Mannings n$=0\mathrm{.}013,$ and carries a flow of $75$ m$3/$s$.$ answer the following questions: $($a$)$ What is the normal depth of flow in the channel? $($b$)$ What is the critical depth of flow in the channel? $($c$)$ Classify the slope of the channel $($d$)$ at uniform flow, should the lining be reinforced? $($e$)$ what is the freeboard at uniform flow?