Water flows near a flat surface and some measurements of the water velocity, (u), parallel to the

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Water flows near a flat surface and some measurements of the water velocity, \(u\), parallel to the surface, at different heights, \(y\), above the surface are obtained. At the surface \(y=0\). After an analysis of the data, the lab technician reports that the velocity distribution in the range \(0

\[ u=0.81+9.2 y+4.1 \times 10^{3} y^{3} \]

with \(u\) in \(\mathrm{ft} / \mathrm{s}\) when \(y\) is in \(\mathrm{ft}\).

(a) Do you think that this equation would be valid in any system of units? Explain.

(b) Do you think this equation is correct? Explain. You may want to look at Video 1.4 to help you arrive at your answer.

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