Water at a gauge pressure of 3.0 atm at street level flows into an office building at a speed of .40 m/s through a pipe 5.0 cm in diameter. The pipe tapers down to 2.2 cm in diameter by the top floor, 15 m above, where the faucet has been left open. Calculate the flow velocity and the gauge pressure in such a pipe on the top floor. Assume no branch pipes and ignore viscosity.