A) 16 m
B) 8 m
C) 3.2 m
D) 12.8 m
Correct Answer: D
Solution :
\[\because \,\,\,y=x\,\tan \,\theta \left( 1-\frac{x}{R} \right)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.....(1)\] \[and\,\,y\,\,=\,\,16x-\frac{5{{x}^{2}}}{4}\] \[\Rightarrow \,\,\,\,\,y\,\,=\,\,16x\,\,\left( 1-\frac{5x}{64} \right)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,.....(2)\] \[comparing\text{ }\left( 1 \right)\,\,\And \,\,\left( 2 \right),\text{ }R=\frac{64}{5}=12.8\text{ }m\]
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