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AP EAMCET202120 Aug 2021Morning ShiftPhysicsMotion in One DimensionActual

The displacement of a particle starting from rest at t = 0 is given by s = 9 t 2 - 2 t 3 . The time in seconds at which the particle will attain zero velocity is

Options

  1. A8   s
  2. B6   s
  3. C4   s
  4. D3   s

Correct answer

D. 3   s

Step-by-step solution

The velocity of particle is, v = d s d t = d 9 t 2 - 2 t 3 d t = 18 t - 6 t 2 When particle attains zero velocity, v = 18 t - 6 t 2 = 0 18 t - 6 t 2 = 0 ⇒ 6 t 3 - t = 0 ⇒ t = 0   and   t = 3 Therefore, after 3   s the particle will attain zero velocity.

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