A sample of soil for a constant$-$head permeability test yields the following data. Diameter of the permeameter $=7\mathrm{.}5cm$; length of the soil sample $=19\mathrm{.}0cm$; head causing flow $=14\mathrm{.}0cm$; quantity of water collected in $10$min$=120cc$;$G_s=2\mathrm{.}65,{}_{\text{s}\text{a}\text{t}}=18k\frac{N}{m^3}.$ Determine $($a$)$ coefficient of permeability in $c\frac{m}{s}($b$)$ discharge velocity of flow, and $($c$)$ seepage velocity.