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 5239

Question

The velocity of a particle is v = √(4 + 4x), where x is in metres. The acceleration is:
  1. A
    2 m/s²
    Correct
  2. B
    4 m/s²
  3. C
    1 m/s²
  4. D
    8 m/s²

Correct answer

2 m/s²

Explanation

a = v(dv/dx). v² = 4 + 4x → 2v(dv/dx) = 4 → v(dv/dx) = 2. So a = 2 m/s² (constant).