Question

kelley is playing pool and hits the cue into the nine ball, which is directly in the center of the pool table. the nine ball travels a total of 7 meters before stopping, 1 meter to the left of the initial starting point of the nine ball. which sentence reflects the correct statement regarding distance and displacement when considering the motion of the nine ball? (1 point)
the nine ball traveled a distance of 7 meters and was displaced by 1 meter.
the cue ball traveled a distance of 7 meters and was displaced by 1 meter.
the nine ball traveled a distance of 1 meter and was displaced by 1 meter.
the nine ball traveled a distance of 1 meter and was displaced by 7 meters.

Explanation:

1. Recall the definitions: Distance is the total path length traveled, and displacement is the straight - line distance from the initial to the final position (with direction).
2. Analyze the motion of the nine - ball: The nine - ball travels a total of 7 meters, so the distance traveled is 7 meters. Its final position is 1 meter to the left of the initial position, so the displacement is 1 meter (magnitude, considering the direction is left, but for the magnitude here it's 1 meter).
3. Eliminate incorrect options:

• Option 2 is incorrect because it refers to the cue ball, but the question is about the nine - ball.
• Option 3 is incorrect because the distance traveled by the nine - ball is 7 meters, not 1 meter.
• Option 4 is incorrect because the distance is 7 meters and displacement is 1 meter, not the other way around.

Answer:

A. The nine ball traveled a distance of 7 meters and was displaced by 1 meter.