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Gopal Das
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Asked: 2021-11-22T06:30:32+00:00 In:

A point object transvers half the distance with velocity V⁰. The remaining part of the distance is covered with velocity V₁ for the half of the time and which velocity V₂ for the rest half. The average velocity of the object for the whole journey is –

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Poll Results

0%[A] 2V₁ (V⁰ + V₂) / (V⁰ + 2V₁ + 2V₂)
0%[B] 2 V⁰ (V⁰ + V₁) / (V⁰ + V₁ + V₂)
100%[C] 2V⁰ (V₁ + V₂) / (V₁ + V₂ + 2 V⁰) ( 5 voters )
0%[D] 2V₂ (V⁰ + V₁) / (V₁ + 2V₂ + V⁰)
Based On 5 Votes

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Let “s” be total displacement, then
s/2 = V⁰ t₁
or t₁ = s / 2V⁰
and,
s/2 = V₁ t₂ + V₂t₃
= (V₁ + V₂) t₂
To find, Average velocity = Total displacement / Total time (should be taken)
= s / t₁ + t₂ + t₃
= 2V⁰ (V₁ + V₂) / (V₁ + V₂ + 2V⁰)

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    1 Answer

    1. [C] 2V⁰ (V₁ + V₂) / (V₁ + V₂ + 2 V⁰)

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