Consider flow in a frictionless rectangular channel. The channel undergoes a smooth constriction in width and then returns to its previous width. The width before and after the transition is $B_1=3\mathrm{.}00[m].$ The transition is smooth and ideally streamlined, so energy losses may be neglected. The depth of flow upstream of the constriction is $h_1=3\mathrm{.}42[m],$ and the cross section$-$averaged velocity upstream of the constriction is $u_1=3\mathrm{.}56[\frac{m}{s}].$ Assume that the bed slope is small, so that it can be neglected over the

length of the flow transition. The constriction reduces the width of the channel to $B_2=2\mathrm{.}63[m].$ Compute the water depth at the constriction in $m.$