Suppose you are hiking along a trail. Make a comparison between your displacement and your distance traveled.
Check all that apply.
-Your displacement must be less than your distance traveled.
-Your displacement must be greater than your distance traveled.
-Your displacement can be greater than your distance traveled.
-Your displacement must be equal to your distance traveled.
-Your displacement can be equal to your distance traveled.
-Your displacement can be less than your distance traveled.
Check the last two.
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The Last two is Correct.
Your Displacement CAN be equal or less than your distance traveled.
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The correct options are:
- Your displacement can be greater than your distance traveled.
- Your displacement must be equal to your distance traveled.
- Your displacement can be equal to your distance traveled.
- Your displacement can be less than your distance traveled.
To explain further, displacement refers to the overall change in position from the starting point to the ending point, regardless of the path taken. It is a vector quantity and has both magnitude and direction.
On the other hand, distance traveled refers to the total length of the path traveled, which does not take into account the direction.
In certain cases, your displacement can be greater than your distance traveled if you have taken a convoluted route or have changed direction multiple times during your hike. In such situations, the displacement accounts for the overall change in position, whereas the distance traveled only considers the path's length.
Conversely, your displacement can also be less than your distance traveled if you end up near your starting point or follow a path that results in a smaller net change in position.
Lastly, your displacement can be equal to your distance traveled when you travel in a straight line from your starting point to your ending point without any change in direction. In this scenario, the displacement and the distance traveled would be the same.