For a constant head permeability test on soil from Hedley, Texas, the following values were noted: $e=0\mathrm{.}667,$ length of specimen $=11\mathrm{.}0cm,$ diameter of specimen $=6\mathrm{.}3cm,$ head difference $=100cm,$ and water collected in $60s=110c{m}^3.$ Determine a$)$ the hydraulic conductivity, $k(c\frac{m}{m}in),$ b$)$ the discharge velocity, $v(c\frac{m}{m}in),$ and c$)$ the seepage velocity, $v_s(c\frac{m}{m}in).(10$ pts$)$