A person travelling in a straight line moves with a constant velocity v₁ for certain distance ' x ' and with a constant velocity v₂ for next equal distance. The average velocity v is given by the relation (a) v = √(v₁ v₂) (b) 1/v = 1/v₁ + 1/v₂ (c) 2/v = 1/v₁ + 1/v₂ (d) v/2 = (v₁ + v₂)/(2)

Answer: (c). Total displacement = 2x, total time = x/v₁ + x/v₂. v = (2x)/(x/v₁ + x/v₂) ⇒ 2/v = 1/v₁ + 1/v₂ So the answer is (c).

A person travelling in a straight line moves with a constant velocity… | NEET 2019

Q16NEET 2019Easy

Distance, Displacement & Average Speed

A person travelling in a straight line moves with a constant velocity $v_1$ for certain distance ' $x$ ' and with a constant velocity $v_2$ for next equal distance. The average velocity $v$ is given by the relation

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Answer: (c)

Total displacement $= 2x$ , total time $= \frac{x}{v_1} + \frac{x}{v_2}$ .
$v = \frac{2x}{x/v_1 + x/v_2} \Rightarrow \frac{2}{v} = \frac{1}{v_1} + \frac{1}{v_2}$
So the answer is (c).

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