Problem $4-$ Unit Hydrograph $(25$ Points$)$

A measured hydrograph for the Little Cuyahoga River emptying into the Cuyahoga River is approximately triangular in shape. The peak discharge occurs $2$ hours into the storm $($storm duration of $2$ hours$)$ and measures $350cfs.$ There is no base flow before the event and the discharge drops to zero $6$ hours AFTER the peak. The drainage area is $650$ acres $(1$ acre $=43,560f{t}^2).$

$($a$)$ Sketch the storm hydrograph $[5$ Points$]$

$($b$)$ Sketch the unit hydrograph $[5$ Points$]$

$($c$)$ During the storm Dick Goddard reported there was $3$ inches of rain measured in the area. If the drainage area is predominantly grassy area $)=(0\mathrm{.}3$ does this make sense? If not, are his gauges measuring too high or too low? Show calculations to support your answer of too high or too low $[5$ Points$]$

$($d$)$ If a $2-$hourstorm produces $3$ inches of runoff is immediately followed by a $2-$hour storm of $2\mathrm{.}5$ inches of runoff, what is the storm peak discharge $($in cfs$)?[10$ Points$]$

b$)A_1=\frac{1}{2}(2hr*\frac{x(6)}{hr})-3006s$