Rainfall occurs at a constant rate of 1.2 cm/hr on a loam soil.  Use the Green-Ampt method to determine the actual infiltration assuming the effective saturation s_e is 0.50.  Compute the following:

1. Ponding time t_p (hours)
2. Cumulative infiltration at ponding (cm)
3. Equivalent time origin t₀ (hours)
4. Cumulative infiltration after 30 minutes of rainfall (cm)
5. Infiltration rate after 30 minutes of rainfall (cm/hr)
6. Cumulative infiltration after 2 hour of rainfall (cm)
7. Infiltration rate after 2 hour of rainfall (cm/hr)

Hint: You might find using Excel helpful to find a solutions for cumulative infiltration (when iteration is required).