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A projectile aimed at a mark, which is i...

A projectile aimed at a mark, which is in the horizontal plane through the point of projection, falls a cm short of it when the elevation is `alpha` and goes b cm far when the elevation is `beta`. Show that, if the speed of projection is same in all the cases the proper elevation is
`1/2 sin^(-1) [(bsin2alpha+asin2beta)/(a+b)]` .

Text Solution

Verified by Experts

The correct Answer is:
`1/2 sin^(-1)[(a sin 2 alpha a+b sin 2 beta)/(a+b)]`
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