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If the range of a gun which fires a shel...

If the range of a gun which fires a shell with muzzle speed V is R , then the angle of elevation of the gun is

A

` cos ^(-1) (V^2/(gR))`

B

`cos ^(-1) ((gR)/(v^2))`

C

`1/2 sin ^(-1) ((v^2)/(gR))`

D

`1/2 sin ^(-1) ((gR)/(v^2))`

Text Solution

Verified by Experts

The correct Answer is:
D
`R=(v^(2) sin 2theta)/(g), sin 2 theta=Rq//v^(2), theta=1/2 sin^(-1) ((Rg)/(V^(2))`
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