So some of you all might have said that the sheep traveled 25 kilometers. If that's what you came up with, what you calculated is the total distance traveled. Now, some of you might have said, wait, hold on a second, the sheep was here before and then it ends up right over here at the end of its journey and so its change in position is it would have moved a net five kilometers south.
From this point to this point would have been five kilometers south. It doesn't matter what it did along the way, what its path was. At the end of the day, it ended up five kilometers south of where it started out and this would also be a valid way of saying how far it traveled and this notion is known as displacement. So the displacement would be in this situation five kilometers south.
So pause this video. What do you think is the definition or the difference between saying the distance something traveled versus its displacement? Well, as we mentioned, the distance something travels is the entire length of its journey.
It's the entire path and this thing will never be negative. You could travel zero kilometers but as long as you are, your position keeps changing, this thing will only increase because it's the total length of your path. Your displacement is your change in position and since it's a change in position, not only will we mention the five kilometers, we'll say in what direction.
The position of the sheep has changed five kilometers to the south. For example, if I start at point A as a reference and move 50m east, and then 50m west, what is my displacement? With reference to point A, I have not moved, so my displacement from point A has remained unchanged. Therefore it is also possible to have a negative displacement, depending on what direction you deem positive. In the example I gave, the west was my "negative" direction.
However, my distance traveled, in this case, would be m as that corresponds to the total distance I have moved. Therefore we can say that distance is a scalar, while displacement is a vector.
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