A fireboat is to fight fires in coastal areas by drawing seawater with a density of $1030$ kg$/$m$3$ through a $10-$cm$-$diameter pipe at a rate of $0\mathrm{.}04$ m$3/$s and discharging it through a hose nozzle with an exit diameter of $5$ cm$.$ The total irreversible head loss of the system is $3$ m$,$ and the position of the nozzle is $3$ m above sea level. For a pump efficiency of $70$ percent, determine the required shaft power input to the pump and the water discharge velocity.