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AIIMS2015PhysicsMotion in One Dimension

The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is proportional to

Options

  1. At
  2. Bt
  3. Ct^2
  4. Dt^ 3 / 2

Correct answer

B. t

Step-by-step solution

Here, s t^3 or s=k t^3 velocity, v= d s d t = d d t (k t^3 )=3 k t^2 Acceleration, a= d v d t = d d t (3 k t^2 )=6 k t a t

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