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Problem 3: The City of Phoenix wants an opinion from you about a fountain that has been already built. They would like the water jet to reach h = 6 m, where h is the distance between the end of the pipe and the top of the jet, as shown. They have also told you that, at a distance of 10 cm right below the pipe exit, they are able to guarantee a pressure of 45,000 Pa and a velocity of 3 m/s. Will their goal be reached under this pressure and velocity conditions? Justify quantitatively your answer (assume inviscid fluid).

Fig: 1