An object moves with speed v₁, v₂ , and v₃ along a line segment A B, B C and C D respectively

English

Gujarati

Hindi

2.Motion in Straight Line

medium

An object moves with speed $v_1, v_2$, and $v_3$ along a line segment $A B, B C$ and $C D$ respectively as shown in figure. Where $AB = BC$ and $AD =3 AB$, then average speed of the object will be :

A

$\frac{\left(v_1+v_2+v_3\right)}{3}$

B

$\frac{v_1 v_2 v_3}{3\left(v_1 v_2+v_2 v_3+v_3 v_1\right)}$

C

$\frac{3 v_1 v_2 v_3}{v_1 v_2+v_2 v_3+v_3 v_1}$

D

$\frac{\left(v_1+v_2+v_3\right)}{3 v_1 v_2 v_3}$

(JEE MAIN-2023)

Solution

$AB =x$

$BC =x$

$2 x+ CD =3 x$

$CD =x$

$\ < v > =\frac{3 x}{\frac{x}{v_1}+\frac{x}{v_2}+\frac{x}{v_3}}=\frac{3 v_1 v_2 v_3}{v_2 v_3+v_1 v_3+v_1 v_2}$

Standard 11

Physics

Share

Similar Questions

''The magnitude of average velocity is equal to average speed''. This statement is not always correct and not always incorrect. Explain with example.

medium

A $150 \,m$ long train is moving with a uniform velocity of $45 \,km/h$. The time taken by the train to cross a bridge of length $850 $ meters is……….$sec$

medium

The speed-time graph of a particle moving along a fixed direction is shown in Figure

$(a)\; t = 0\; s$ to $10 \;s$, $(b)\;t=2 \;s$ to $6\; s$

What is the average speed of the particle over the intervals in $(a)$ and $(b)$?

medium

A person travels along a straight road for the first half time with a velocity ${v_1}$ and the next half time with a velocity ${v_2}$ . The mean velocity $V$ of the man is

easy

A point moves with uniform acceleration and ${v_1},\,{v_2}$ and ${v_3}$ denote the average velocities in the three successive intervals of time ${t_1},\,{t_2}$ and ${t_3}$. Which of the following relations is correct

hard