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

A canon on a level plane is aimed at an angle `theta` above the horizontal and `a` shell is fired with muzzle velocity `v_(0)` towards a clift` D` distance away. The hieght at which the canon strikes the cliff is given by

A

`D sin theta - (1)/(2) (gD^(2))/(v_(0)^(2)sin^(2)theta)`

B

`D cos theta - (1)/(2) (gD^(2))/(v_(0)^(2)cos^(2)theta)`

C

`D tan theta - (1)/(2) (gD^(2))/(v_(0)^(2)cos^(2) theta)`

D

`D tan theta - (1)/(2) (gD^(2))/(v_(0)^(2)sin^(2) theta)`

Text Solution

Verified by Experts

The correct Answer is:
C
`y = x tan theta - (1)/(2) (2x^(2))/(U^(2)cos^(2) theta)`
so
`h = D tan theta - (1)/(2)(gx^(2))/(U_(0)^(2)cos^(2)theta)`
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