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The stream of water flowing from a faucet is wider near the top. (It is easier to observe if the faucet does not have an aerator.)

(a) Explain this phenomenon.

(b) The cross-sectional area of the stream in a region near the top is A1, and the cross sectional area lower region is A2 . If the distance between the two regions is h, find an expression for the speed of the water in the top region in terms of A1, A2, and h. (Use any variable or symbol stated above along with the following as necessary: g. Do not substitute numerical values; use variables only.)

(c) If A1 = 1.3 cm2, A2 = 0.24 cm2, and h = 6.4 cm, what is the speed at the top of the flow?

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