Determine and plot the relation between water velocity and depth over the range of \(V=0.1 \mathrm{~m} / \mathrm{s}\) to \(10 \mathrm{~m} / \mathrm{s}\) for Froude numbers of 0.5 (subcritical), 1.0 (critical), and 2 (supercritical). Explain how the flow can be subcritical, critical, or supercritical for

(a) the same velocity 

(b) the same depth.