A person travels x distance with velocity v₁ and then x distance with velocity v₂ in same direct

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2.Motion in Straight Line

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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 :

A

$v=v_1+v_2$

B

$v =\frac{ v _1+ v _2}{2}$

C

$\frac{2}{ v }=\frac{1}{ v _1}+\frac{1}{ v _2}$

D

$\frac{1}{ v }=\frac{1}{ v _1}+\frac{1}{ v _2}$

(JEE MAIN-2023)

Solution

Average velocity $=\frac{ x + x }{\frac{ x }{ v _1}+\frac{ x }{ v _2}}= v$

$\frac{1}{ v _1}+\frac{1}{ v _2}=\frac{2}{ v }$

Standard 11

Physics

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