Problem $6\mathrm{.}34($page $305)$: A wide$-$shallow rectangular channel $(S_0=0\mathrm{.}002,n=0\mathrm{.}025)$ carries a

unit$-$width flow rate of $70f{t}^{2}se{c}^{-1}.$ A sluice gate is adjusted to produce a minimum depth of

$1\mathrm{.}0ft$ just downstream of the gate. If the maximum water depth in the downstream channel is

the normal depth,

$(1)$ Determine whether a hydraulic jump will occur

$(2)$ If so$,$ estimate the distance from the gate to the end of the jump