Final Answer:
The quantity equal to the area under the speed-time graph is C. distance traveled.
The graph shows that the acceleration is not constant for the ball rolling down a slope.
Step-by-step explanation:
12. The area under a speed-time graph represents the displacement or distance traveled by an object. Therefore, the correct choice is C, indicating that the quantity equal to the area under the graph is the distance traveled by the ball.
Analyzing the speed-time graph for the ball rolling down a slope, the variable area represents the change in distance traveled. Acceleration is not directly determined from the area under a speed-time graph; instead, it can be calculated from the slope of the graph at various points. The correct choice is A, indicating that the acceleration is not constant, which is evident from the changing slope of the speed-time graph.
Understanding the interpretation of speed-time graphs is essential in physics. The area under the graph provides information about the displacement or distance traveled, while the slope of the graph at a given point gives insights into the instantaneous acceleration. These concepts are fundamental in describing and analyzing the motion of objects.