Problem $2(15$ points$/10$ minutes$)$

Consider a set$-$up of Darcy's experiment as shown below. Water flows through the sand column at a steady flow of $5c\frac{m^3}{m}in.$ The hydraulic head of the water point $1(h_1)$ is $120cm$ above the datum. The hydraulic conductivity is $0\mathrm{.}12c\frac{m}{m}in$ and the effective porosity is $0\mathrm{.}25.$ The diameter of the column is $5cm$

$($a$)$ What is the hydraulic head of water at point $2?$

$($b$)$ How long does it take water to travel through the $35cm$ column?