A fireman standing on a 12 m high ladder operates a water hose with a round nozzle of diameter 1.56 inches. The lower end of the hose (12 m below the nozzle) is connected to the pump outlet of diameter 3.02 inches. The gauge pressure of the water at the pump is ( P_{{gauge}}^{{pump}} = P_{{abs}}^{{pump}} - P_{{atm}} = 43.5 { psi} = 299.922 { kPa} ). Calculate the speed of the water jet emerging from the nozzle. Assume that water is an incompressible liquid of density ( 1000 { kg/m}³ ) and negligible viscosity. The acceleration of gravity is ( 9.8 { m/s}² ).

A) ( 23.1 { m/s} )
B) ( 29.5 { m/s} )
C) ( 35.2 { m/s} )
D) ( 42.6 { m/s} )