Figure P$10\mathrm{.}5$ shows a cross section of a canal forming a portion of the Colorado River Aqueduct, which is to carry $44\frac{m^3}{s}.$ The canal is lined with concrete, for which $n$ is $0\mathrm{.}014.($a$)$ What is the slope of this canal, and what is the drop in elevation per kilometer?

$($b$)$ If the flow in the canal were to decrease to $22\frac{m^3}{s},$ all other data, including the slope and n$,$ being the same, what would be the depth of the water?

Figure P$10\mathrm{.}5$