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Question 5357
NEET Physics · Medium

Motion in a Plane: Mixed 2D Motion MCQ

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Mixed 2D MotionMediumQuestion 5357

Question

A projectile has the same range for angles α and β where α + β = 90°. If H₁ and H₂ are max heights, then H₁ + H₂ equals:
  1. A
    R/2
    Correct
  2. B
    R/4
  3. C
    R
  4. D
    2R

Correct answer

R/2

Explanation

H₁ = u²sin²α/2g, H₂ = u²cos²α/2g. H₁+H₂ = u²(sin²α+cos²α)/2g = u²/2g. At 45°, R = u²/g. So H₁+H₂ = R/2 (the range at 45°). Answer: R/2.

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