A dam 50 m high backs up water in a river valley as shown. During flood flow, the discharge per meter of width, q, is equal to 10 m²/s. Making the simplifying assumptions that R = y and f = 0.030, determine the water-surface profile upstream from the dam to a depth of 6 m. In your numerical calculation, let the first increment of depth change be y_c ; use increments of depth change of 10 m until a depth of 10 m is reached; and then use 2 m increments until the desired limit is reached.

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ye q = 10 m/s y 50 m So = 0.0004, f= 0.030 %3D