Problem 3: Adapted from Example 9.2 in Ladson (2008) There was a large flood in the Werribee River (about 50km from Melbourne). A flood hydrograph has been measured downstream of Melton Reservoir (EL. 90m AHD) and we would like to estimate the hydrograph at the town of Werribee, 24km further downstream (EL 10m AHD). Values of the Melton Reservoir hydrograph are presented below. Using Manning's Equation, calculate a representative wave velocity for flow down a channel assuming a hydraulic radius R=2 and a Manning roughness n of 0.0535. Employ the Muskingum method to determine the flood hydrograph at Werribee, assuming that an approximate value of K can be calculated by dividing the reach length by the wave speed, and use a value of 0.2 fox x. When choosing an appropriate time step, check that At satisfies the relationship that 2Kx