A soil has Horton's equation parameters of f₀ = 10 cm/hr, f_c = 4 cm/hr, and k = 2 hr^-1.   Predict the infiltration and cumulative infiltration curves for a constant intensity rainstorm with rainrate i of 6 cm/hr.

1. Ponding time t_p (hours)
2. Cumulative infiltration at ponding (cm)
3. Equivalent time origin t₀ (hours)
4. Compute the actual infiltration rate f (cm/hr) at 0, 10, 20, ..., 60 minutes.
5. Compute the actual cumulative infiltration F (cm) at 0, 10, 20, ..., 60 minutes.
6. Plot the actual infiltration rate as a function of time (one plot). Be sure to include time t_p as a point and label the ponding time on the curve.
7. Plot the actual cumulative infiltration as a function of time (a second plot). Be sure to include time t_p as a point and label the ponding time on the curve.