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A cannon on a level plane is aimed at an...

A cannon on a level plane is aimed at an angle `theta` above the horizontal and a shell is fired with a muzzle velocity `v_(0)` towards a vertical cliff a distance D away. Then the height from the bottom at which the shell strikes the side walls of the cliff is

A

` R sin alpha -1/2 (gR^2)/(v_0^2 sin^2alpha)`

B

`R cos alpha- 1/2 (gR^2)/(v_0^2cos ^2 alpha)`

C

`R tan alpha -1/2 (gR^2)/(v_0^2 sin ^2 alpha)`

D

`R tan alpha -1/2 (gR^2)/(v_0^2 sin ^2 alpha)`

Text Solution

Verified by Experts

The correct Answer is:
C

P should satisfy equation of trajectory
`h=R tan alpha -(gR^(2))/(2v_(0)^(2) cos^(2) alpha)`
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