$($a$)$ Explain the terms infiltration and infiltration capacity. In a $10Hr$ storm rainfall

$10$

occurred over a catchment the rainfall depths are as given below :

$\backslash$table$[[$Hours$,1,2,3,4,5,6,7,8,9,10],[$Depth cm$/$hr$,1\mathrm{.}0,1\mathrm{.}5,5\mathrm{.}0,6\mathrm{.}0,10\mathrm{.}5,8\mathrm{.}5,9\mathrm{.}0,7\mathrm{.}0,1\mathrm{.}5,1\mathrm{.}5]]$

Surface runoff resulting from the storm is equivalent to $20cm$ of depth over the catchment. Determine the average infiltration and average rate of infiltration.