Consider the system shown below. Water is flowing into a $220mm$ base of a fire plug with a flow rate of $0\mathrm{.}15\frac{m^3}{s}.$ If the velocity of the jet shooting out of the

left hand nozzle, A$,$ is $12\frac{m}{s}$ the find the velocity of the water entering the fire plug and discharge the can be delivered via the right hand nozzle, B$.$

Assume the following nozzle diameters: $d_a=75mm$ and $d_b=100mm.$

$($a$)$ Please enter the velocity of the water entering the fire plug.

$($b$)$ Please enter the discharge out of nozzle B$.$