An object has moved through a distance. Can it have zero displacement? If yes, support your answer with an example.

Hi Kavya,

 

Let us begin with the concept behind the terms ‘distance’ and ‘displacement’. ‘Distance’ is the measure of the length of the path travelled; it is a scalar quantity.  ‘Displacement’ is the measure of change in position; it is a vector quantity.

 

From the above definitions, let us analyze the motion of a particle in a circular path of radius, say, R. The distance covered by the particle in one complete rotation is equal to the circumference of the circle, i.e. 2 πR. Whereas, the displacement of the particle is zero, because, there is no net change in position of the particle. The particle comes back to its initial position after every complete rotation.

 

Thus, an object may move through a distance even if its displacement is zero.

 

Hope this explanation with the example answers your query.

 

Do write back if you have any confusion or doubt.

Keep posting & have a nice day!