A self-driving car is programmed to maintain a position in the exact center of its lane. If a gust of wind pushes the car slightly to the right, the car's steering system immediately corrects its course, guiding it back to the center. Which of the following best describes the car's programmed position in the center of the lane?

The Ball in the Valley Analogy

In the classic illustration of a stable equilibrium, a ball resting in a valley is used to represent an economic system. Match each element of this physical illustration to the economic concept it represents.

Consider a ball resting at the bottom of a valley. If this ball is pushed with enough force to send it completely out of the valley, its original resting position is still an example of a state that is self-correcting in response to disturbances.

Evaluating Analogies for Self-Correcting Systems

Analyzing a Self-Correcting System

Consider a scenario where a ball is perfectly balanced at the very peak of a smooth, rounded hill, as opposed to resting at the bottom of a valley. If the ball at the peak of the hill is given a very slight nudge, how will its subsequent movement fundamentally differ from the ball in the valley that receives a similar nudge?

Contrasting System States

Creating an Analogy for a Self-Correcting System

Imagine a ball resting at the bottom of a smooth, bowl-shaped valley. If you give the ball a small push sideways, it will eventually roll back to the bottom and settle. What is the primary feature of this system that causes the ball to return to its starting point?