Define and explain displacement.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The change in position of a particle in a particular interval of time is called displacement. Let $x_{1}$ and $x_{2}$ be the positions of an object at time $t_{1}$ and $t_{2}$.
Its displacement,denoted by $\Delta x$ in time $\Delta t = (t_{2} - t_{1})$,is given by the difference between the final and initial positions.
$\Delta x = x_{2} - x_{1}$
We use the Greek letter delta $(\Delta)$ to denote the change in a quantity.
If $x_{2} > x_{1}$,$\Delta x$ is positive; and if $x_{2} < x_{1}$,then $\Delta x$ is negative.
Displacement has both magnitude and direction.
In one-dimensional motion,there are only two directions (backward and forward,upward and downward) in which an object can move.
These two directions can easily be specified by $+$ and $-$ signs.
For example,the displacement of the car in moving from $O$ to $P$ is:
$\Delta x = x_{2} - x_{1} = (+360 \ m) - 0 \ m = +360 \ m$
The displacement has a magnitude of $360 \ m$ and is directed in the positive $x$-direction as indicated by the $+$ sign.
Similarly,the displacement of the car from $P$ to $Q$ is $240 \ m - 360 \ m = -120 \ m$. The negative sign indicates the direction of displacement.

Explore More

Similar Questions

The position vector of a moving particle at time $t$ is $r = 3 \hat{i} + 4t \hat{j} - t \hat{k}$. Its displacement during the time interval $t = 1 \ s$ to $t = 3 \ s$ is

Distinguish between path length and displacement.

What is mechanics? Give definitions of its sub-branches.

$A$ particle moves along the circumference of a circle of radius $r$ from point $A$ to point $B$ as shown in the figure. What are the path length and displacement?

The ratio of displacement to distance for a moving particle is

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