NEET Physics · Hard

Motion in a Straight Line: Kinematic Equations Advanced MCQ

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

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Kinematic Equations AdvancedHardQuestion 5243

Question

A rocket is fired vertically with net upward acceleration a for time T. After T, it goes into free fall. The maximum height above ground is:
  1. A
    ½aT²
  2. B
    aT²
  3. C
    ½aT² + a²T²/2g
    Correct
  4. D
    aT²/2g

Correct answer

½aT² + a²T²/2g

Explanation

Height at burnout: h₁ = ½aT². Velocity at burnout: v = aT. Extra height: h₂ = v²/2g = a²T²/2g. Total max height = ½aT² + a²T²/2g.