The question in the image asks:

"What quantity does the area under a velocity-time graph represent?"

The correct answer is displacement.

Explanation:

The area under a velocity-time graph represents the displacement of an object. This is because displacement is the integral of velocity with respect to time. In simpler terms, when you calculate the area (which could be positive or negative depending on the direction of motion), you determine the net change in position of the object over the given time interval.

Do you want further explanation or examples about this concept? Here are related questions you might explore:

1. What is the difference between displacement and distance?
2. How do you calculate the area under a velocity-time graph if the graph has multiple sections?
3. Why does the area under a speed-time graph represent distance instead of displacement?
4. Can a displacement value be negative? Why or why not?
5. How does acceleration relate to the slope of a velocity-time graph?

Tip: Remember, if the graph has segments below the time-axis (negative velocity), these contribute negative displacement, which indicates motion in the opposite direction!