6.8.13. A diversion gate backs up flow in a 5-ft wide rectangular irrigation channel (S0=0.001, n=0.015). The discharge in the channel is 50 cfs. If the depth of flow at the gate is 3.5 ft, determine the channel and flow classification (e.g., M-2, S-1, etc.) upstream of the gate and explain your supporting logic. Then determine the water surface profile by finding the depth of flow at distances of 100, 300, and 600 ft upstream of the gate. (50 points)

Fig: 1