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Question

A cannon on a level plane is aimed at an angle θ above the horizontal and a shell is fired with a muzzle velocity vo 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 -
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B
D cos -
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C
D tan -
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D
D tan -
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Solution

The correct option is C D tan -
Equation of trajectory for oblique projectile motion

y = x tan θgx22u2cos2θ

Substituting x = D and u = v0
h = D tan θgD22u20 cos2θ

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