Q$3.$ The excess rainfall and direct runoff recorded for a storm in a certain catchment are as

follows:

In the same catchment, a rainfail of $2$ cm occurs in one hour. Assurne the $-$index for the

catchment as $0\mathrm{.}2c\frac{m}{h}$ and the base flow as $10\frac{m^3}{s}.$

Determine the following:

$($i$)$ The one$-$hour unit hydrograph of the catchment, and

$($ii$)$ The flood hydrograph at the outlet of the catchment due to a rainfall of $2$ cm in one

hour.