Q$2-$ A trapezoidal channel has a bottom width $b=2m$ with side slope is $1H$:$1V$ and Manning's coefficient $n=0\mathrm{.}013,$ and coefficient of Coriolis $$ is $1\mathrm{.}0.$ The channel consists of $2$ channel sections that have different bed slope, $S_{01}(AB)=0\mathrm{.}001$ and $S_{02}(BC)=0\mathrm{.}01.$ If a $10\frac{m^3}{s}$ discharge is flowing in the channel, draw the water profile and determine the distance of normal depth $(y_n)$ from point $B$ at both section. The water depth at point $B$ is assumed the same as critical depth $(yc).$