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AP EAMCET · PHYSICS · Motion In One Dimension

The displacement of a particle starting from rest at t=0 is given by s=9t2-2t3. The time in seconds at which the particle will attain zero velocity is

  1. A 8 s
  2. B 6 s
  3. C 4 s
  4. D 3 s
Verified Solution

Answer & Solution

Correct Answer

(D) 3 s

Step-by-step Solution

Detailed explanation

The velocity of particle is, v=dsdt=d9t2-2t3dt=18t-6t2 When particle attains zero velocity, v=18t-6t2=0 18t-6t2=0⇒6t3-t=0⇒t=0 and t=3 Therefore, after 3 s the particle will attain zero velocity.
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