Two projectiles are launched simultaneously from the same point with the same speed at angles (45°-α) and (45°+α). If their maximum heights are h₁ and h₂ respectively, then h₁/h₂ is:
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Two projectiles are launched simultaneously from the same point with the same speed at angles (45°-α) and (45°+α). If their maximum heights are h₁ and h₂ respectively, then h₁/h₂ is:

G1 Physics · Accepted Answer

Maximum height H=u²sin²θ/(2g). Hence h₁/h₂=sin²(45°-α)/sin²(45°+α). Expanding gives [(cosα-sinα)/(cosα+sinα)]²=(1-sin2α)/(1+sin2α).