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:
- A½aT²
- BaT²
- C½aT² + a²T²/2gCorrect
- DaT²/2g
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.