$5.(10$ points$)$ Consider a $100$ cm long horizontal column. The medium is homogeneous, the saturated hydraulic conductivity is $\backslash (1\backslash$mathrm$\{$~cm$\}/\backslash$mathrm$\{$s$\}\backslash ),$ flow moves horizontally and is at steady state. The pressure head at the left boundary is $50$ cm $.$ The pressure head at the right boundary is $-50$ cm $.$ The air entry pressure head of the medium is $-50$ cm $.$ Plot the pressure head $($ y $-$axis$)$ verses the distance from the left boundary $($x$-$axis$),$ and calculate the flux. Defend your answers with one concise, explanatory sentence.