An incompressible fluid flows between two infinite stationary parallel plates. The velocity profile is given by \(u=u_{\max }\left(A y^{2}+\right.\) \(B y+C)\), where \(A, B\), and \(C\) are constants and \(y\) is measured upward from the lower plate. The total gap width is \(h\) units. Use appropriate boundary conditions to express the magnitude and units of the constants in terms of \(h\). Develop an expression for volume flow rate per unit depth and evaluate the ratio \(\bar{V} / u_{\max }\).