Problem $\backslash$#$3$

A flow rate of $\backslash (10\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash )$ occurs in a rectangular channel $6$ m wide, lined with concrete $($troweled$)(\backslash (\backslash$mathrm$\{$n$\}=0\mathrm{.}013\backslash ))$and laid on a slope of $0\mathrm{.}0001.$ If the depth at a point in the channel is $1\mathrm{.}50$ m

$1.$ Compute the normal depth

$2.$ Compute the critical depth

$3.$ what type of flow profile

$4.$ Use direct step method to calculate how far $($upstream or downstream$)$ from this point will the depth be $1\mathrm{.}65$ m $?$