A jet on a water feature shoots a column of water H = 80 ft high. The nozzle is located just above the surface of a reflecting pool and has a diameter of 1 in. A submersible pump with a 4 in dia outlet pipe and an 6 in. diameter inlet pipe located D = 2.5 ft below the surface of the pool operates the jet. For this configuration,

a) Derive an expression for the velocity of the water at the nozzle exit and simplify accordingly

b) Calculate the velocity of the water at the nozzle exit

c) Derive an expression for pressure at a point just inside the pump intake pipe and simplify accordingly

d) Calculate the pressure at a point just inside the pump intake pipe(γwater = 62.4 lb/ft^3)