Two projectiles are fired with the same speed at complementary angles. If their maximum heights are H₁ and H₂, then:
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Two projectiles are fired with the same speed at complementary angles. If their maximum heights are H₁ and H₂, then:

G1 Physics · Accepted Answer

For angles θ and 90°−θ, H₁ = u²sin²θ/(2g), H₂ = u²cos²θ/(2g). Therefore H₁+H₂ = u²(sin²θ+cos²θ)/(2g) = u²/(2g).