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 = 3 v1, v2 = 2 v1 and v1 = 11 ms-1 then the average velocity of the car is ______________ ms-1.

⟨v→⟩= Displacement time (Let displacement be l)=ℓℓV3+ℓV2+ℓV113=31V1+1V2+1V3=3111+122+133=18m/s

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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 = 3 v₁, v₂ = 2 v₁ and v₁ = 11 ms^-1 then the average velocity of the car is ______________ ms^-1.

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answer is 18.

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Detailed Solution

$⟨ \vec{v} ⟩ = \frac{Displacement}{time}$

(Let displacement be l)

$\begin{array}{l} = \frac{ℓ}{(\frac{ℓ}{V_{3}} + \frac{ℓ}{V_{2}} + \frac{ℓ}{V_{1}}) \frac{1}{3}} \\ = \frac{3}{\frac{1}{V_{1}} + \frac{1}{V_{2}} + \frac{1}{V_{3}}} = \frac{3}{\frac{1}{11} + \frac{1}{22} + \frac{1}{33}} \\ = 18 m / s \end{array}$