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As shown in the figure, at the entrance to a 3-ft wide channel the velocity distribution is uniform with a velocty V. Further dwonstream the velocity profile is given by u=4y-2y^2, where u is in ft/s and y is in ft. Determine the value of V.

As shown in the figure, at the entrance to a 3-ft wide channel the velocity distribution is uniform with a velocty V. Further dwonstream the velocity profile is given by u=4y-2y^2, where u is in ft/s and y is in ft. Determine the value of V.