# Motion

## Science

### NCERT

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

##### Solution :

Yes. An object that has moved through a distance can have zero displacement. Displacement is the shortest measurable distance between the initial and the final position of an object. An object which has covered a distance can have zero displacement, if it comes back to its starting point, i.e., its initial position. Consider the following situation. A man is walking in a square park of length $20 m$ (as shown in the following figure). He starts walking from point A and after moving along all the corners of the park (point $B, C, D$), he again comes back to the same point, i.e., A.$\\$ In this case, the total distance covered by the man is $20 m + 20 m + 20 m + 20 m = 80 m.$ However, his displacement is zero because the shortest distance between his initial and final position is zero.

2   A farmer moves along the boundary of a square field of side $10 m$ in $40 s$. What will be the magnitude of displacement of the farmer at the end of $2$ minutes $20$ seconds?