An upward steady state water flow through a sand column has a discharge velocity of $5\mathrm{.}0{10}^{-5}\frac{m}{s}.$ The soil has a coefficient of permeability $5\mathrm{.}0{10}^{-5}\frac{m}{s}$ and a critical hydraulic gradient of $1.$

a$)$ Calculate the hydraulic gradient of the upward water flow.

$(5$ points$)$

b$)$ Calculate the total head and pressure head of points $B$ and $D.$

$(5$ points$)$

$)$ What is the total head difference between point A and $E,h_{AE}.$

$(5$ points$)$