Write the relation between speed and the magnitude of velocity.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The speed of an object is defined as the total distance traveled divided by the total time taken,while the magnitude of velocity is defined as the magnitude of the displacement divided by the total time taken.
Since the distance traveled is always greater than or equal to the magnitude of the displacement $(Distance \ge |Displacement|)$,it follows that the speed is always greater than or equal to the magnitude of the velocity.
Mathematically,this is expressed as: $\text{Speed} \ge |\text{Velocity}|$.
Equality holds true only when the object moves in a straight line without changing its direction.

Explore More

Similar Questions

$A$ body covers the first one-third of the distance with a velocity of $20 \, m/s$,the second one-third with a velocity of $30 \, m/s$,and the last one-third with a velocity of $40 \, m/s$. The average velocity is nearly........$m/s$.

$A$ man walks on a straight road from his home to a market $2.5 \,km$ away with a speed of $5 \,km/h$. Finding the market closed,he instantly turns and walks back home with a speed of $7.5 \,km/h$. The average speed of the man over the interval of time $0$ to $40 \,min$ is equal to

Difficult
View Solution

$A$ body has speed $V, 2V$ and $3V$ in the first $1/3$ of distance $S$,second $1/3$ of $S$,and third $1/3$ of $S$ respectively. Its average speed will be:

Difficult
View Solution

$A$ person travels $x$ distance with velocity $v_1$ and then $x$ distance with velocity $v_2$ in the same direction. The average velocity of the person is $v$. Then the relation between $v, v_1$ and $v_2$ will be:

An object moves with speeds $v_1, v_2$,and $v_3$ along line segments $AB, BC$,and $CD$ respectively,as shown in the figure. If $AB = BC$ and $AD = 3 AB$,then the average speed of the object will be:

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