$1.(15$ pts$)$ A $1000-$meter$-$long section of trapezoidal canal was surveyed and found to have a drop in the invert $($channel bottom$)$ of $4\mathrm{.}9$ meters. The flow depth was measured at $2\mathrm{.}2$ meters. The canal section has a bottom width of $2$ m and side slopes of $2$ horizontal to $1$ vertical. The canal conveys a steady, uniform flow of $\backslash (50\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash ).$

a$.$ What is the headloss in this reach of canal?

b$.$ What is the average Manning's n for this section of canal?

c$.$ Do you have any concerns about the stability of the flow depth in this section of canal? Explain and show your calculations.