$9($modified$)$ Assume there is shallow continuous ponding at the ground surface $($i$.$e$.,$ not rainfall$-$limited$).$

Use the Green$-$Ampt method for the following questions.

Soil parameters$)$ Silty clay soil: n $=0\mathrm{.}5$; K $=0\mathrm{.}1$ cm$/$hr; $|\backslash$psi $|=30$ cm; $\backslash$theta r $=0\mathrm{.}1$; Se $=0\mathrm{.}3$

$(1)$ Compute the following. $[2$:$1]$

$\backslash$theta e $=\backslash$Delta $\backslash$theta $=$

$(2)$ Write the equations for F$($t$)$ and f$($t$).$