"The magnitude of displacement may or may not be equal to the path length traversed by an object." Explain this statement with an example.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
For motion of the car from $O$ to $P$, the path length is $360 \text{ m}$ and the displacement is $360 \text{ m}$.
In this case, the magnitude of displacement is equal to the path length.
Consider the motion of the car from $O$ to $P$ and back to $Q$. In this case, the path length is the total distance covered: $360 \text{ m} + 120 \text{ m} = 480 \text{ m}$.
The displacement is the change in position: $240 \text{ m} - 0 \text{ m} = 240 \text{ m}$.
Thus, the magnitude of displacement $(240 \text{ m})$ is not equal to the path length $(480 \text{ m})$.

Explore More

Similar Questions

$A$ balloon is moving up in air vertically above a point $A$ on the ground. When it is at a height $h_{1}$,a girl standing at a distance $d$ (point $B$) from $A$ sees it at an angle $45^{\circ}$ with respect to the vertical. When the balloon climbs up a further height $h_{2}$,it is seen at an angle $60^{\circ}$ with respect to the vertical if the girl moves further by a distance $2.464d$ (point $C$). Then the height $h_{2}$ is (given $\tan 30^{\circ} = 0.5774$):

When is an object said to be a particle?

Under what condition is the magnitude of distance covered by an object equal to its displacement?

On an open ground,a motorist follows a track that turns to his left by an angle of $60^{\circ}$ after every $500\; m$. Starting from a given turn,specify the displacement of the motorist at the third,sixth and eighth turn. Compare the magnitude of the displacement with the total path length covered by the motorist in each case.

Which among path length and displacement cannot be zero for a moving object?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo