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The displacement of a particle starting from rest (at t = 0) is given by s = 6t2-t. The time in seconds at which the particle will attain zero velocity again, is

  • a)
    6

  • b)
    4

  • c)
    2

  • d)
    8

Correct answer is option 'B'. Can you explain this answer?
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The displacement of a particle starting from rest (at t = 0) is given ...
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The displacement of a particle starting from rest (at t = 0) is given ...
v = ds/dt


v = 12t - 3t2


0 = 3t (4 - t)

⇒ t = 0 or 4

Here t = 0 is not realistic so at t = 4 the velocity will be zero.

Thus, the particle will attain zero velocity at the time of 4 seconds.
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