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 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
$D\sin \theta - \frac{{g{D^2}}}{{2v_0^2{{\sin }^2}\theta }}$
- B
$D\cos \theta - \frac{{g{D^2}}}{{2v_0^2{{\cos }^2}\theta }}$
- C
$D\tan \theta - \frac{{g{D^2}}}{{2v_0^2{{\cos }^2}\theta }}$
- D
$D\tan \theta - \frac{{g{D^2}}}{{2v_0^2{{\sin }^2}\theta }}$
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- [AIIMS 1998]
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