Problem $6(20$ points $\frac{?}{20}$ minutes$)$

A pumping well fully penetrates a confined aquifer of thickness $30m.$ The well is pumped for a test at $500\frac{m^3}{d}ay$ and the values of the water heads at an observation well $50m$ from the pumped well are measured at different times and tabulated below. The original piezometric surface $(h_o)$ is $40m.$

$($a$)$ Determine the hydraulic conductivity, transmissivity and the storage coefficient of the aquifer using Jacob equation.

$\backslash$table$[[$Time $($min$),$Drawdown $($m$)s$