Water is flowing through a channel that is 12 m wide with a speed of 0.75 m/s. The water then flows into four identical channels that have a width of 4.0 m each. 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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The water depth is the same in every channel, so it cancels in the continuity equation: ( 12 m ) ( 0.75 m/s ) = 4 ( 4 m ) v v = 4 ( 4 ) 12 ( 0.75 ) ​ m/s v = 0.5625 m/s ≈ 0.56 m/s Option A.

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