Mathematical Model of Soil Erosion

Question

Which of the following conclusions is best supported by the evidence that the soil erosion function $$L(s)=3*s^2+2*s+5$$ has a constant second derivative of 6, indicating an accelerating increase in erosion with slope?

Accepted Answer

A constant positive second derivative confirms that as the slope increases, soil erosion accelerates, which underscores the need for careful land management on steep terrains.

Answer

The constant second derivative implies that soil erosion occurs at a steady rate regardless of the slope, suggesting minimal variation in erosion.

Answer

The evidence means that soil erosion is linearly related to slope, with no significant change in the rate of erosion as slopes become steeper.

Answer

A second derivative of 6 indicates initial rapid soil deposition followed by a slowdown in erosion rates on steeper slopes.