A) \[{{\sin }^{-1}}\left( \frac{u}{v} \right)\]
B) \[{{\cos }^{-1}}\left( \frac{v}{u} \right)\]
C) \[{{\cos }^{-1}}\left( \frac{u}{v} \right)\]
D) \[{{\sin }^{-1}}\left( \frac{v}{u} \right)\]
Correct Answer: B
Solution :
[B] Particle will strike the point B is velocity of particle with respect to platform is along AB or component of its relative velocity along AD is zero. i.e., Velocity of particle projected from A along \[AD=u\cos \theta \] \[\therefore \,\,\,u\,\,\cos \theta -v=0\] \[u\cos \theta =v\,\,or\,\,\theta ={{\cos }^{-1}}\left( \frac{v}{u} \right)\]
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