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JEE Main201912 Apr 2019Evening ShiftPhysicsMotion in One DimensionActual

A particle is moving with speed v = b x along positive x - axis. Calculate the speed of the particle at time t = τ (assume that the particle is at origin at t = 0 )

Options

  1. Ab 2 τ
  2. Bb 2 τ 2
  3. Cb 2 τ 2
  4. Db 2 τ 4

Correct answer

C. b 2 τ 2

Step-by-step solution

v = b x … (1) ⇒ d x d t = b x d x x = b d t ∫ 0 x d x x = ∫ 0 t b d t 2 x = b t … (2) From equation (1) and (2) v = b b t 2               ∴ a t   t = τ v = b 2 τ 2

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