Problem $3.(15$ points$)$ Assume the following watershed and precipitation characteristics:

Two hour rainfall event $($main part of growing season$)$ steadily delivering $1\mathrm{.}5$ cm in the first

hour, and then steadily delivering $4$ cm in the second hour

Cotton $($row crop$)$ farmed on contour in poor condition

The slope is $2\%$ with slope length $100$ m

The soils are sandy clay loam with $0\mathrm{.}5\%$ organic matter in hydrologic group C

AMCII

Watershed area is $20$ hectares

Use the CN approach to estimate the:

a$)$ time $($minutes$)$ at which runoff is initiated;

b$)$ peak runoff rate $(c\frac{m}{h}r)$ during the storm $[15$ minute time step$]$; and

c$)$ The average depth of infiltration in cm on the watershed.