A straight nozzle attached to a fire hose reduces its inside diameter uniformly from 7.5cm at the hose end to 3.0cm at the tip over a length of 40cm. Water is discharged steadily at the rate of 0.015m3s−1. Calculate:
a. (i) the speed of water at the hose–nozzle junction
b. (ii) the speed of water at the nozzle tip
c. (iii) the average rate of change of speed per centimetre along the nozzle