NEET Physics · Hard

Motion in a Straight Line: Non-Uniform Acceleration MCQ

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

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Non-Uniform AccelerationHardQuestion 5231

Question

A particle moves along x-axis with acceleration a = 2t m/s². If v = 0 at t = 0, the velocity at t = 3 s is:
  1. A
    6 m/s
  2. B
    9 m/s
    Correct
  3. C
    18 m/s
  4. D
    3 m/s

Correct answer

9 m/s

Explanation

v = ∫a dt = ∫2t dt = t² + C. At t=0, v=0 → C=0. At t=3: v = 9 = 9 m/s.