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 cue ball traveled a distance of 7 meters and was displaced by 1 meter. the nine 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, but magnitude here is considered).
2. Analyze the motion of the nine - ball: The nine - ball travels a total of 7 meters, so its distance traveled is 7 meters. Its final position is 1 meter to the left of the initial position, so the magnitude of its displacement is 1 meter.
3. Analyze the options:

• Option 1: Talks about the cue ball, but the question is about the nine - ball, so this is incorrect.
• Option 2: States that the nine ball traveled a distance of 7 meters (correct, as it's the total path) and was displaced by 1 meter (correct, as it's the straight - line change in position), so this option is correct.
• Option 3: The distance traveled is not 1 meter (it's 7 meters), so this is incorrect.
• Option 4: The distance is not 1 meter and displacement is not 7 meters, so this is incorrect.

Answer:

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