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Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights, h₁ and h₂. Which of the following is correct?

Asked in JEE Main 12th April 2nd Shift 2019 · Maximum height

Answer: (1) R² = 16h₁h₂

Step-by-step solution

Same u and same range: complementary angles, h₁ = (u² sin²θ)/(2g), h₂ = (u² cos²θ)/(2g).

h₁h₂ = (u⁴ sin²θ cos²θ)/(4g²) = 1/(16)((u²·2 sin θ cos θ)/g)² = (R²)/(16).

R² = 16h₁h₂.

Why the other options are wrong

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