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  4. A car travels a distance of ' x ' with speed v1 and then same distance ' x ' with speed v2 in the same direction. The average speed of the car is:

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Q. 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:

JEE MainJEE Main 2023Motion in a Straight Line

Solution:

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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}$