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COMEDK2013MathematicsDifferentiation

If the distance ' S metres traversed by a particle in t seconds is given by S=t³-3 t² , then the velocity of the particle when the acceleration is zero, in m / sec is

Options

  1. A3
  2. B-2
  3. C-3
  4. D2

Correct answer

C. -3

Step-by-step solution

We have, aligned &S=t³-3 t² & d S d t =3 t²-6 t and d² S d t² =6 t-6 & Now, acceleration, d² S d t² =0 & 6 t-6=0 & t=1 & Velocity = . d S d t |_ t=1 & =3(1)²-6(1)=3-6=-3 ~m / sec aligned

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