A channel with a Manning's n of 0.018 and a bed that drops 1m in 800m length. Take the channel width as 4.2m. If the channel is assumed to be flowing at uniform flow with a depth of 1.5 m calculate: (a) The minimum height of a bump such that critical flow will occur on the bump. (b) The minimum throat width of a contraction such that critical flow will occur in the throat of the contraction without affecting the upstream depth (and without the bump of part (i) in place). (c) If a contraction was constructed in the channel with a throat width of 2.3m what would be the resulting depth of flow just upstream of the contraction?