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KVPY2017PhysicsMotion in One Dimension

A particle starts moving along a line from zero initial velocity and comes to rest after moving distance d. During its motion it had a constant acceleration f over 2 / 3 of the distance, and covered the rest of the distance with constant retardation. The time taken to cover the distance is

Options

  1. A2 ~d / 3 f
  2. B2 d / 3 f
  3. C3 ~d / f
  4. D3 ~d / 2 f

Correct answer

C. 3 ~d / f

Step-by-step solution

a ₁ l₁= a ₂ l₂ by equation of motion array l Retardation =2 f t=t₁+t₂ = 4 d 3 f + 2 d 2 f = 3 d f array

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