Problem $1$

A column filled with porous material has the following characteristics: Cross$-$sectional area, $A=20c{m}^2$; hydraulic conductivity, $K=0\mathrm{.}2c\frac{m}{sec},$ hydraulic head at point $a,h_a=30cm$ and column length $I=15cm.$ Flow is from A to B$.$ Answer the following:

a$)$ If $48c{m}^3$ of water is collected from the outlet of the column over $60$ seconds, what is the discharge $($Q$)$ and Darcy velocity $($q$)$ through the column?

b$)$ What is the hydraulic head measured at point $b,h_b?$