Answer:
The three correct statements which could describe the motion of an object are:
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- <u><em>distance = 10 meters and displacement = 1 meter </em></u>
- <u><em>distance = 10 meters and displacement = 0 </em></u>
- <u><em>distance = 10 meters and displacement = 10 meters</em></u>
Explanation:
<em>Motion</em> is the change of position of an object along any path. As such, the path can be rectilinear or along a curve whose direction is variable.
Two important characteristics used to describe a motion are the length of the path traveled and the final distance from the starting point.
The length of the path traveled is what distance describes. The final distance from the starting point to the final point is what displacement describes.
The maginitude of the displacement is the difference between the final position and the starting position.
When the path traveled is rectilinear, the distance and the magnitude of the displacement are the same.
When the path is not rectilinear, the distance (the length of the path) is always greater than the magnitude of the displacement.
Thus, as for the correct statements, you have:
- <u>distance = 10 meters and displacement = 1 meter </u>
This means that the object traveled along a 10 meters path, but since it was not rectilinear, the difference between the final position and the starting position is just 1 meter.
- <u>distance = 10 meters and displacement = 0 </u>
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This means that the object traveled 10 meters but it ended back in the very same place from which it departed (a complete turn around a table, for example).
- <u>distance = 10 meters and displacement = 10 meters</u>
This means that the travel was in the trip was alogn a straight line, and the object traveled 10 meters and ended 10 meters away from the starting place.
As for the two incorrect statements:
- <u>distance = 0 and displacement = 10 meters </u>
- <u>distance = 1 meter and displacement = 10 meters</u>
It is not possible that the object ended up 10 meters away from where it was (the displacement), by traveling just 1 meter less than that.
