A car travels a distance of x with speed v₁ and then same distance x with speed v₂ in same direc

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2.Motion in Straight Line

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A car travels a distance of $x$ with speed $v_1$ and then same distance $x$ with speed $v_2$ in the same direction. The average speed of the car is

A

$\frac{ v _1 v _2}{2\left( v _1+ v _2\right)}$

B

$\frac{v_1+v_2}{2}$

C

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

D

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

(JEE MAIN-2023)

Solution

$\text { Average velocity }=\frac{\text { Total displacement }}{\text { Total time }}$

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

Standard 11

Physics

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