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 by the nine - ball is 7 meters.
• The nine - ball ends up 1 meter to the left of its initial position, so the displacement of the nine - ball is 1 meter.
• Now, analyze each option:
• Option 1: "The nine ball traveled a distance of 7 meters and was displaced by 1 meter." This matches the definitions of distance and displacement for the nine - ball.
• Option 2: Talks about the cue ball, but the problem is about the nine - ball's motion, so this is incorrect.
• Option 3: The distance traveled by the nine - ball is 7 meters (not 1 meter), so this is incorrect.
• Option 4: The distance is 7 meters and displacement is 1 meter (not the other way around), so this is incorrect.

Answer:

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