$2.(5$ pts$.)$ Consider three triangular inflow hydrographs, each with durations of $4$ hours. The peak discharges $($cfs$)$ of the hydrographs are $400/3,400,$ and $400$x$3.$ Using the detention basin from Question $1$ and the reservoir routing program provided, route thethree inflow hydrographs. Note the following:$*$ The program provided uses a $5-$minute time step and depth increments of $0\mathrm{.}1$ feet.$*$ The inflow factor can be used to obtain the first and third hydrograph.$*$ The outlet code determines which control structure is used. $(0$ for the orifice and $1$ for the weir$).*$ The only values you need to change are the inflow factor and the outlet code.Repeat, using the same basin configuration and the following stage$-$discharge relationship:Outflow $=7$ H$1\mathrm{.}5$Plot the two stage$-$discharge relationships on the same figure.For each of the three inflow hydrographs, plot $($on the same figure$)$ the inflow hydrograph and the outflow hydrographs corresponding to each of the two stage$-$discharge relationships. $($There will be three figures, each with one inflow and two outflow hydrographs.$)$Give a table with the resulting outflow peaks.Discuss the results. In particular, explain how and why the relative performance of the outlet structures varies with the hydrograph.

Consider a $4-$acre detention basin with vertical sides. Assume that the discharge from the basin is given by

Outflow $=77\mathrm{.}3H^{0\mathrm{.}5}$

where outflow has units of cfs and H is the depth of water in the basin in ft $.($Assume that the basin is able to contain the hydrograph.$)$

Given below is an inflow hydrograph:

$\backslash$table$[[$Time $($hrs$),0,1,2,3,4],[$Inflow $($cfs$),0,200,400,200,0]]$

Route the inflow hydrograph through the basin using the storage indication method $($without use of a computer program or spreadsheet$).$ Use a time step of $1$ hour. Plot the inflow and outflow hydrographs on the same figure.