Two projectiles are projected with the same speed at angles 30° and 60° with the horizontal. The ratio of their maximum heights H₁: H₂ is:
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Question

Two projectiles are projected with the same speed at angles 30° and 60° with the horizontal. The ratio of their maximum heights H₁:H₂ is:

G1 Physics · Accepted Answer

Maximum height of a projectile is H = u²sin²θ/(2g) Therefore, H₁/H₂ = sin²30°/sin²60° = (1/2)²/(√3/2)² = (1/4)/(3/4) = 1/3 Hence H₁:H₂ = 1:3. Option D follows.