A triangular channel with $2$:$1$ slopes $(H$:$V)$ has a depth of flow of $1m$ and a flow rate of $0\mathrm{.}8\frac{m^3}{s}.$

a$)$ Determine the top width $($in $m)$ for the given flow conditions.

b$)$ Determine the flow area $($in $m^2)$ for the given flow conditions.

c$)$ Determine the Froude Number for the given flow conditions.

d$)$ Is the flow subcritical or supercritical?

e$)$ Determine the critical depth $($in m$).$