A drinking fountain projects water at an initial angle of 50 degrees above the horizontaland the water reaches a maximum height of 0.15 m above the point of exit. Assume air resistance is negligible.a) Calculate the speed at which the water leaves the fountain.b) The radius of the fountain's exit hole is 4.00 x 10^-3 m. Calculate the volume flow rate of the water.c) The fountain is fed by a pipe that at one point has a radius of7.00 x 10^3 m and is 3.00 m below the fountain's opening. The density of water is 1.0 x 10^3 kg/m3. Calculate the gauge pressure in the pipe at this location.