$2\mathrm{.}31.$ A $5-$hr storm over a $15-ac$ basin produces a $5-$in$.$ rainfall: $1\mathrm{.}2in\frac{.}{h}r$ for the first hour, $2\mathrm{.}1in\frac{.}{h}r$ for the second hour, $0\mathrm{.}9in\frac{.}{h}r$ for the third hour, and $0\mathrm{.}4in\frac{.}{h}r$ for the last $2$ hr $.$ Determine the infiltration that would result from the Horton model with $k=\frac{1\mathrm{.}1}{h}r,f_c=0\mathrm{.}2in\frac{.}{h}r,$ and $f_0=0\mathrm{.}9in\frac{.}{h}r.$ Plot the overland flow for this condition in in$./$hr vs$.t.$