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MHT CET2008MathematicsDifferentiation

The velocity of a particle at time t is given by the relation v=6 t- t² 6 . The distance traveled in 3 ~s is, if s=0 at t=0

Options

  1. A39 2
  2. B57 2
  3. C51 2
  4. D33 2

Correct answer

C. 51 2

Step-by-step solution

Given, v= d s d t =6 t- t² 6 On integrating both sides, we get s=3 t²- t³ 18 + constant Now, put s=0 at t=0 , we get constant =0 s=3 t²- t³ 18 Now, distance traveled in 3 s=3(3)²- (3)³ 18 =27- 27 18 = 51 2

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