Q$2$: A sheet pile is driven into sandy silt. The coefficient of permeability of the soil is $1\mathrm{.}8{10}^{-7}\frac{m}{s}.$ Using the flow net shown in figure below, compute the following:

a$)$ Flow rate in $m\frac{3}{?}$ day per meter run

b$)$ Pore pressure at the tip of the sheet pile

c$)$ Pore water pressure at Point A & pore water pressure at Point B

d$)$ Hydraulic gradient and velocity of flow $($in $\frac{m}{s})$ at point B

$[10$Marks$](2\mathrm{.}5$ each part$)$