Flow enters a long, rectangular flume at its upstream end from under a sluice gate. The flume has a bottom width of 3 ft. n-0.013, and a bottom slope of S,-0.02. The flow depth at the entrance is 1.30 ft and the discharge is 30 cfs. The normal and critical depths have already been determined as y,-0.91 ft and y,- 1.46 ft. a) Determine the channel and flow classification in the flume (e.g., M-2, S-1, etc.) and explain your supporting logic. b) Will depths of 0.80 ft and 0.60 ft ft occur, in this channel? If your answer is YES calculate how far downstream from the sluice gate. If your answer is NO explain why. c) Will depths of 1.20 ft and 1.10 ft occur in this channel? If your answer is YES calculate how far downstream from the sluice gate. If your answer is NO explain.