Water is flowing through a channel that is $12 m$ wide with a speed of $0.75 m s^{- 1}$ . The water then flows into four identical channels that have a width of $4.0 m$ . The depth of the water does not change as it flows into the four channels. What is the speed of the water in one of the smaller channels?

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A v = A 1 v 1 + A 2 v 2 + A 3 v 3 + A 4 v 4 A v = 4 A 1 v 1 12 × 0.75 = 4 4 × v v = 3 4 × 0.75 = 0.75 × 0.75 v = 0.56 m s - 1

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