Consider uniform water flow in a wide rectangular

channel with a depth of $2$ m made of unfinished concrete laid

on a slope of $0\mathrm{.}0022.$ Determine the flow rate of water per m

width of channel. Now water flows over a $15-$cm$-$high bump.

If the water surface over the bump remains flat $($no rise or

drop$),$ determine the change in discharge rate of water per

meter width of the channel. $($Hint: Investigate if a flat surface

over the bump is physically possible.$)$