Inside the detroit airport, there is a water fountain art project that has dozens of water fountains that shoot the water in a tight parabolic stream, which goes in a hole in the floor, such that very little water actually gets on the floor itself. designing such a system requires very careful determination of what pressure pump you want to use to shoot the water. let's prestend you are the engineer working with the artist designing the art project, and you need to "size" the pump for a particular fountain. assume the pump is 1.5 meters below the height of a fountainhead (it is on the ceiling of the floor below, so that it can be serviced if necessary), and the pump pushes water into a x" diameter pipe (x" internal diameter). the pump creates some pressure, which you will need to determine. that pressure pushes the water up the 1.5 meters to the nozzle, and the water leaves the nozzle at an angle of 45. if you want the water to land exactly 2 meters away from the nozzle head, at the same elevation, and the nozzle head has a diameter of / of an inch, what pressure should the pump produce?