Water enters a wide, flat channel of height \(2 h\) with a uniform velocity of \(2.5 \mathrm{~m} / \mathrm{s}\). At the channel outlet the velocity distribution is given by

\[\frac{u}{u_{\max }}=1-\left(\frac{y}{h}\right)^{2}\]
where \(y\) is measured from the centerline of the channel. Determine the exit centerline velocity, \(u_{\max }\).