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99 Percentile Qs Bank for JEE MainPhysicsMotion in One Dimension

A body covers first 1 3 part of its journey with a velocity of 2   m   s - 1 , next 1 3 part with a velocity of 3   m   s - 1 and the rest of the journey with a velocity 6   m   s - 1 . The average velocity of the body will be

Options

  1. A3   m   s - 1
  2. B11 3   m   s - 1
  3. C8 3   m   s - 1
  4. D4 3   m   s - 1

Correct answer

A. 3   m   s - 1

Step-by-step solution

Let the total distance be 3 x   m . For first 1 3 rd distance x   m , let time be t 1 . ∵   time = distance speed ∴ t 1 = x 2   s . . . ( i ) For second 1 3 rd distance x   m , let time be t 2 . ∵   time = distance speed ∴ t 2 = x 3   s . . . ( ii ) and for third 1 3 rd distance x   m , let time be t 3 . ⇒ t 3 = x 6 . . . ( iii ) ∴ Average velocity for entire journey. v av = total   displacement total   time   ⇒ v av =

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