Two projectiles are launched from the top of a tower of height h with the same speed u. One is projected at angle +θ and the other at angle -θ relative to the horizontal.If their times of flight are T₊ and T₋, then:
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Question

Two projectiles are launched from the top of a tower of height h with the same speed u. One is projected at angle +θ and the other at angle -θ relative to the horizontal.If their times of flight are T₊ and T₋, then:

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G1 Physics · Accepted Answer

The two flight times are T₊ = [u sinθ + √(u²sin²θ+2gh)]/g, T₋ = [-u sinθ + √(u²sin²θ+2gh)]/g. Multiplying, T₊T₋ = [(u²sin²θ+2gh) - u²sin²θ]/g² = 2h/g.