A person travels x distance with velocity v_1 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The average velocity is defined as the total displacement divided by the total time taken.Total distance $= x + x = 2x$.Time taken for the first p

Vedclass · Accepted Answer

$\frac{2}{v} = \frac{1}{v_1} + \frac{1}{v_2}$

Vedclass · Answer

(C) The average velocity is defined as the total displacement divided by the total time taken.Total distance $= x + x = 2x$.Time taken for the first part of the journey $t_1 = \frac{x}{v_1}$.Time taken for the second part of the journey $t_2 = \frac{x}{v_2}$.Total time taken $T = t_1 + t_2 = \frac{x}{v_1} + \frac{x}{v_2} = x \left( \frac{1}{v_1} + \frac{1}{v_2} ight)$.Average velocity $v = \frac{	ext{Total distance}}{	ext{Total time}} = \frac{2x}{x \left( \frac{1}{v_1} + \frac{1}{v_2} ight)}$.Canceling $x$ from the numerator and denominator,we get $v = \frac{2}{\frac{1}{v_1} + \frac{1}{v_2}}$.Rearranging this gives $\frac{2}{v} = \frac{1}{v_1} + \frac{1}{v_2}$.

$A$ 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:

Similar Questions

$A$ boy walks to his school at a distance of $6\, km$ with a constant speed of $2.5\, km/h$ and walks back with a constant speed of $4\, km/h$. His average speed for the round trip,expressed in $km/h$,is:

If a body covers one-third of its total distance at speed $v_1$,the next one-third at speed $v_2$,and the last one-third at speed $v_3$,then the average speed will be:

$A$ person travels along a straight road for half the distance with velocity $v_1$ and the remaining half distance with velocity $v_2$. The average velocity is given by:

If a person moving along a straight line path covers the first half distance with velocity $V_1$ and the next half distance with velocity $V_2$,then the average velocity of the person is

The ratio of the numerical values of the average velocity and average speed of a body is always

Vedclass Test Series

Exam Paper Generator

Online Exam Module