Write the relation between instantaneous velocity and relative velocity for uniform motion.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
For an object moving with uniform motion,the velocity remains constant over time.
Let $v_A$ be the velocity of object $A$ and $v_B$ be the velocity of object $B$.
The relative velocity of object $A$ with respect to object $B$ is defined as $v_{AB} = v_A - v_B$.
Since the motion is uniform,the instantaneous velocity at any time $t$ is equal to the average velocity.
Therefore,the instantaneous relative velocity $v_{rel}(t)$ is given by $v_{rel}(t) = v_A(t) - v_B(t)$,which remains constant for all $t$ in uniform motion.

Explore More

Similar Questions

Two particles $A$ and $B$ are moving along a straight line with $B$ ahead of $A$. If their velocities remain constant,what will be the effect on the magnitude of their relative velocity when $A$ is ahead of $B$?

$A$ train is running at a constant speed of $90 \,km/h$ on a straight track. $A$ person standing on the top of a bogie moves in the direction of motion of the train such that he covers $1 \,m$ on the train each second. The speed of the person with respect to the ground is .........

Two cars are moving in the same direction with a speed of $30\ km/h$. They are separated from each other by $5\ km$. $A$ third car moving in the opposite direction meets the two cars after an interval of $4\ minutes$. What is the speed of the third car in $km/h$?

$A$ man is at a distance $d$ behind a bus. The bus starts from rest and moves away from the man with a constant acceleration $a$. At the same time,the man starts running towards the bus with a constant velocity $v$. Which of the following statements are correct?

Difficult
View Solution

At a metro station, a girl walks up a stationary escalator in $20 \,s$. If she remains stationary on the escalator, then the escalator takes her up in $30 \,s$. The time taken by her to walk up on the moving escalator will be (in $\,s$)

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