The liquid in the rectangular channel has a velocity profile defined by $\backslash ($ u$=\backslash$left$(3$ y$^\{1/2\}\backslash$right$)\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash ),$ where $\backslash ($ y $\backslash )$ is in meters $($Figure $1).$ Suppose $\backslash ($ h$=0\mathrm{.}5\backslash$mathrm$\{$~m$\}\backslash ).$

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Part A

Determine the average velocity of the liquid. The channel has a width of $2$ m $.$

Express your answer to three significant figures and include the appropriate units.

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