A) \[{{\sin }^{-1}}\left[ \frac{u}{{{u}^{2}}+{{v}^{2}}} \right]\]
B) \[{{\sin }^{-1}}\left[ \frac{v}{{{u}^{2}}+{{v}^{2}}} \right]\]
C) \[si{{n}^{-1}}\left[ \frac{v}{u} \right]\]
D) \[si{{n}^{-1}}\left[ \frac{u}{v} \right]\]
Correct Answer: C
Solution :
Velocity of the swimmer w.r.t. the ground is the vector sum of velocity of swimmer w.r.t. the river and velocity of river w.r.t. the ground. \[Sin\,\theta =\frac{v}{u}\Rightarrow \theta ={{\sin }^{-1}}\left( \frac{v}{u} \right)\]You need to login to perform this action.
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