JEE Mathematics · Medium

Application of Derivatives: Mixed MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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MixedMediumQuestion 310015

Question

A particle moves with displacement s = t³ − 6t² + 9t. The particle is at rest when t equals:
  1. A
    1 and 3
    Correct
  2. B
    0 and 6
  3. C
    3 only
  4. D
    1 only

Correct answer

1 and 3

Explanation

Velocity v = ds/dt = 3t² − 12t + 9 = 3(t²−4t+3) = 3(t−1)(t−3). v = 0 at t = 1 and t = 3.