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(Assume that the freefall acceleration and the density of air are constant over this range of elevations).

I can get (a) and (b) easily. For (a) the minimum pressure would be 1atm + the pressure necessary to balance the weight of the water in the pipe. For (b), one can use the equation of continuity to find the speed. (c) is what gets me. I'm supposing its asking the question in respect to (b)...but isn't the rate of volume flow and speed explicitly independent of the pressure: (PV)/t = p[power] = Fv, P*(V/t) = Fv, P*(V/t)/v = F, P*A = F, P = F/A....so then the speed and volume flow can be a varying value under the same pressure. How would I interpret what (c) is asking?

The answer to (a) is ~1atm + 15.0MPa, (b) is ~2.95m/s, and (c) is 4.34kPa