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Question 5245
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 5245

Question

The displacement of a particle varies with time as x = 4t − t² (in SI units). When does the particle return to the origin?
  1. A
    t = 2 s
  2. B
    t = 4 s
    Correct
  3. C
    t = 8 s
  4. D
    t = 1 s

Correct answer

t = 4 s

Explanation

x = 0: 4t − t² = 0 → t(4−t) = 0 → t = 0 or t = 4 s. At t = 0 (start) and t = 4 s (returns to origin).

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