A continuous flow!

An overhead pipe spews out water at a constant initial speed of $15\text{ ms}^{-1}$ , vertically downward. In a fraction of a second, the water hits the floor $2\text{ m}$ below the pipe. The pipe continues to spew out water indefinitely. At a certain time after the start (say after 10 minutes), a freeze gun is used to freeze all the water that is mid-air.

Find the height $h$ (in meters) of the centre of mass of the frozen mass from the floor. Submit your answer as $\lfloor 1000 h \rfloor$ .

Details and Assumptions:

• Assume the water flow to be continuous and non-turbulent i.e., product of the circular cross-section area and speed is a constant.

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