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

$v_{1} v_{2}$

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$\frac{v_{2}^{2}}{v_{1}^{2}}$

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$\frac{v_{1} + v_{2}}{2}$

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$\frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$

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Solution

The correct option is D
$\frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$

As the total distance is divided into two equal parts, we have

$v_{a v g} = \frac{T o t a l d i s t a n c e}{T o t a l t i m e}$

$= \frac{d}{\frac{d}{2 v_{1}} + \frac{d}{2 v_{2}}}$

$= \frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$

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A person travels along a straight road for half the distance with velocity v1 and the remaining half distance with velocity v2 The average velocity is given by

The correct option is D 2v1v2v1+v2 As the total distance is divided into two equal parts, we have vavg=Total distanceTotal time =dd2v1+d2v2 =2v1v2v1+v2

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

The correct option is D
$\frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$

As the total distance is divided into two equal parts, we have

$v_{a v g} = \frac{T o t a l d i s t a n c e}{T o t a l t i m e}$

$= \frac{d}{\frac{d}{2 v_{1}} + \frac{d}{2 v_{2}}}$

$= \frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$