$6\mathrm{.}4\mathrm{.}9.$ A transition is constructed to connect two trapezoidal channels with bottom slopes of $0\mathrm{.}001$ and

$0\mathrm{.}0004,$ respectively. The channels have the same cross$-$sectional shape, with a bottom width of $3$

$m,$ a side slope of $z=2,$ and Manning's coefficient $n=0\mathrm{.}02.$ The transition is $20m$ long and is

designed to carry a discharge of $20\frac{m^3}{s}.$ Assume that an energy loss of $0\mathrm{.}02m$ is uniformly distrib$-$

uted through the transitional length. Determine the change in the bottom elevations at the two ends

of the transition. Assume uniform $($normal$)$ depth before and after the transition and use appropriate

computer software to assist you$\mathrm{.}1\mathrm{.}9.$ A transition is constructed to connect two trapezoidal channels with bottom slopes of $0\mathrm{.}001$ and $0\mathrm{.}0004,$ respectively. The channels have the same cross$-$sectional shape, with a bottom width of $3$ m$,$ a side slope of z$=2,$ and Manning's coefficient n$=0\mathrm{.}02.$ The transition is $20$ m long and is designed to carry a discharge of $20$ m$^3/$ s$.$ Assume that an energy loss of $0\mathrm{.}02$ m is uniformly distributed through the transitional length. Determine the change in the bottom elevations at the two ends of the transition. Assume uniform $($normal$)$ depth before and after the transition and use appropriate computer software to assist you.