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NEET UG PHYSICS MCQ: MOTION IN PLANE

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A cannon on a level plane is aimed at an angle θ\theta above the horizontal and a shell is fired with muzzle velocity v0{v_0} towards a cliff D distance away. The height at which the cannon strikes the cliff is given by
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Correct option: C
Dtan⁡θ−12gD2v02cos⁡2θD\tan \theta - \frac{1}{2}\frac{{g{D^2}}}{{v_0^2{{\cos }^2}\theta }}
Option C (Dtan⁡θ−12gD2v02cos⁡2θD\tan \theta - \frac{1}{2}\frac{{g{D^2}}}{{v_0^2{{\cos }^2}\theta }}) is correct. It combines the equations for horizontal and vertical motion under constant acceleration.

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