A car covers AB distance with first one-third at velocity v 1 ms –1 , second one-third at v 2 ms –1 and last one-third at v 3 ms –1 . If v 3 = 3v 1 , v 2 = 2v 1 and v 1 = 11 ms –1 ,then the average velocity of the car is ____ ms –1 .

Question:

A car covers AB distance with first one-third at velocity v₁ ms^–1, second one-third at v₂ ms^–1 and last one-third at v₃ ms^–1. If v₃ = 3v₁, v₂ = 2v₁ and v₁ = 11 ms^–1,then the average velocity of the car is ____ ms^–1.

Updated On: Mar 19, 2025

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$v_{\text{mean}} = \frac{3v_1v_2v_3}{v_1v_2 + v_2v_3 + v_3v_1}$

$\frac{3 \times 11 \times 22 \times 33}{11 \times 22 + 22 \times 33 + 33 \times 11}$

$= 18 $ m/sec

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The rate at which an object covers a certain distance is commonly known as speed.

The rate at which an object changes position in a certain direction is called velocity.