Question

6. Can the distance travelled by an object be smaller
than the magnitude of its displacement?
​

Answer 1

Explanation:

No. The magnitude of distance can never be smaller than the magnitude of displacement because distance is the path covered by a body, whereas, displacement is the smallest path to cover between a body's initial and final position. ... Every example shows that distance is always greater or equal to the displacement

Answer 2

Given : distance travelled by an objet and  magnitude of its displacement

To Find :  Can the distance travelled by an object be smaller

than the magnitude of its displacement

Solution:

No ,

distance travelled by an object can not  be smaller than the magnitude of its displacement

magnitude of  displacement = | Final Position - Initial Position |

Hence magnitude of displacement is the shortest possible distance .

Distance is the actual distance covered to reach final position from Initial position.

If Straight path leading to shortest distance is taken then

Distance = magnitude of  displacement

and in all other cases  it will be  more than magnitude of  displacement

Hence

distance travelled by an object can not  be smaller than the magnitude of its displacement

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