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AP EAMCET202022 Sep 2020Morning ShiftMathematicsDifferentiationActual

. Displacement ' s ' of a particle, in meters, at any time ' t ' s in expressed as s= t^3 3 -6 t . Find the acceleration at a time when the velocity vanishes,

Options

  1. A6 ~m s ⁻²
  2. B2 6 ~m s ⁻²
  3. C12 ~m s ⁻²
  4. D6 6 ~m s ⁻²

Correct answer

B. 2 6 ~m s ⁻²

Step-by-step solution

Given, displacement of a particle at time t as gathered s= t^3 3 -6 t Velocity = d s d t =t^2-6=v gathered and as velocity vanishes, so v=0 t= 6 sec Now, the acceleration a= d v d t =2 t Acceleration a at t= 6 sec is 2 6 ~m / sec ^2 .

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