A) \[{{\tan }^{-1}}\left( \frac{1}{5} \right)\]
B) \[\tan \,\left( \frac{1}{5} \right)\]
C) \[{{\tan }^{-1}}(1)\]
D) \[{{\tan }^{-1}}(5)\]
Correct Answer: A
Solution :
[a] Horizontal component of velocity vx= 500 m/s and vertical components of velocity while striking the ground. \[{{v}_{y}}=0+10\times 10=100\,m/s\] \[\therefore \] Angle with which it strikes the ground. \[\theta ={{\tan }^{-1}}\left( \frac{{{v}_{y}}}{{{v}_{x}}} \right)={{\tan }^{-1}}\left( \frac{100}{500} \right)={{\tan }^{-1}}\left( \frac{1}{5} \right)\]You need to login to perform this action.
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