Suppose the parameters for Philip’s equation are sorptivity S=45 cm/hr^1/2 and K=10 cm/h. A uniform rainfall causes ponding after 15 minutes. Determine the infiltration rate at t=1hr. Also compute the...

Suppose the parameters for Philip’s equation are sorptivity S=45 cm/hr^1/2 and K=10 cm/h. A uniform rainfall causes ponding after 15 minutes. Determine the infiltration rate at t=1hr. Also compute the cumulative infiltration for the first 1 hour of rain.