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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

`D sin theta-(gD^(2))/(2v_(0)^(2) sin^(2) theta)`

B

`D cos theta-(gD^(2))/(2v_(0)^(2) cos^(2) theta)`

C

`D tan theta-(gD^(2))/(2v_(0)^(2) cos^(2) theta)`

D

`D tan theta-(gD^(2))/(2v_(0)^(2) sin^(2) theta)`

Text Solution

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The correct Answer is:
C
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