A long rectangular water supply channel with a 5m bottom discharges 50m 3 /s. The slope of the channel is 0.01 and is paved with smooth concrete (Manning n = 0.013). A weir with height 2m above the channel bottom is placed in the channel. Sketch the water surface profile upstream and downstream of the weir. Identify the location of controls, label the water profile curves and include the water depth at all key locations including hydraulic jumps, if present. Do not calculate water surface profiles using the direct step or standard step method