For the following problem, consider a trapezoidal stilling basin. The centroidal depth $\frac{?}{\text{b}\text{a}\text{r}}(h)$ of a trapezoidal channel can be computed as:

$\frac{?}{\text{b}\text{a}\text{r}}(h)=h\frac{2B+T}{3(B+T)}$

Where $h$ is the depth of water, $B$ is the bottom width of the trapezoid, and $T$ is the top width of the trapezoid. Consider a trapezoidal stilling basin with bottom width of $B=3\mathrm{.}00[m]$ and side slopes $2$:$1$ horizontal to vertical. Rapid flow into the stilling basin creates a hydraulic jump. At the upstream end of the stilling basin the depth is $h_1=0\mathrm{.}581[m]$ and the discharge is $Q=23\mathrm{.}92[$cms$].$ Determine the sequent depth of the water $h_2$ in $[$m$]$ downstream of the jump.