Two projectiles are fired with same initial speed from same point on ground at angles of ( 4 5 ∘ − α ) and ( 4 5 ∘ + α ) , respectively, with the horizontal direction. The ratio of their maximum heigh

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Two projectiles are fired with same initial speed from same point on ground at angles of ( 4 5 ∘ − α ) and ( 4 5 ∘ + α ) , respectively, with the horizontal direction. The ratio of their maximum heights attained is :

TestHub · Accepted Answer

​ H Max ​ = 2 g ( u sin θ ) 2 ​ ( H m a x ​ ) 2 ​ ( H m a x ​ ) 1 ​ ​ = u 2 sin 2 ( 45 + α ) u 2 sin 2 ( 45 − α ) ​ = ( 2 ​ 1 ​ cos α + 2 ​ 1 ​ sin α ) 2 ( 2 ​ 1 ​ cos α − 2 ​ 1 ​ sin α ) 2 ​ = 1 + sin 2 α 1 − sin 2 α ​ ​

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