Position, Distance, and Displacement Quick Check
2 of 52 of 5 Items
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)
Responses
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 1 meter.
The cue 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 7 meters.
The nine ball traveled a distance of 1 meter and was displaced by 7 meters.
The nine 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 correct sentence reflecting the distance and displacement of the nine ball is:
The nine ball traveled a distance of 7 meters and was displaced by 1 meter.
To determine the correct statement regarding distance and displacement, let's understand what each term means.
Distance refers to the total path traveled by an object, regardless of its direction. In this scenario, the distance traveled by the nine ball is given as 7 meters.
Displacement, on the other hand, refers to the change in position of an object from its initial point to its final point, considering direction. In this case, the nine ball started at the center of the pool table and ended up 1 meter to the left of its initial position.
Now, let's analyze the given statements:
1. The nine ball traveled a distance of 1 meter and was displaced by 1 meter. (Incorrect)
This statement only considers a distance of 1 meter traveled, but it fails to account for the displacement of the ball.
2. The cue ball traveled a distance of 7 meters and was displaced by 1 meter. (Incorrect)
This statement mistakenly mentions the cue ball instead of the nine ball.
3. The nine ball traveled a distance of 1 meter and was displaced by 7 meters. (Incorrect)
This statement mistakenly mentions a displacement of 7 meters, which is incorrect. The displacement for the nine ball in this scenario is 1 meter to the left.
4. The nine ball traveled a distance of 7 meters and was displaced by 1 meter. (Correct)
This statement correctly mentions the distance traveled by the nine ball as 7 meters, and it correctly states the displacement of 1 meter to the left.
Therefore, the correct statement regarding the motion of the nine ball is: "The nine ball traveled a distance of 7 meters and was displaced by 1 meter."