DISTANCE AND DISPLACEMENT
Distance and displacement are two quantities that may seem to mean the same thing yet have distinctly different definitions and meanings.
· Distance is a scalar quantity that refers to “how much ground an object has covered” during the motion.
· Displacement is a vector quantity that refers to “how far an object is as compared to the starting point.”
It is the object’s overall change in position.
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)
Let’s consider the motion depicted in the diagram.
I walk 4 meters East, 2 meters South, 4 meters West, and finally 2 meters North.
Even though I walked a total distance of 12 meters, my displacement is 0 meters. During the course of my motion, I “covered 12 meters of ground” (distance = 12 m). Yet when I is finished walking, I am at the same point where I started, so there is no displacement for my motion (displacement = 0 m).
![](data:image/png;base64,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)