A dam has been constructed across a river at a location where the river bed is at RL 154.0 m. The Full Supply Level is at RL 184.0 m and the freeboard is 3.50 m. The spillway is 45.0 m long and the flow rate over the spillway (Q, in m/s) is given by Q = 2.2LH1.5 in which L is the spillway length (in m) and H is the height of the water level above the crest (in m). From survey information the following relationship has been derived between the volume of the reservoir basin (V, in m) and the elevation (h, in m) above the base of the dam (the river bed level): V = 665h2.9 a. Determine the maximum flow rate over the spillway and the maximum encroachment on the freeboard caused by the following flood hydrograph entering the reservoir. Assume that the reservoir is 100% full before the arrival of the flood Time (hrs) 0 0.5 1 1.5 2 2.5 3 3.5 4 Flow rate (m/s) 0 21 49 275 570 840 985 878 677 Time (hrs) 4.5 5 5.5 6 6.5 7 7.5 00 8 Flow rate (m/s) 494 346 250 180 102 50 20 0 How much advance warning of the flood would be necessary to enable the necessary drawing down if the outlet works have a capacity of 20 m/s? How would you determine if this is feasible, and how could this warning be obtained in real time?