Physics Two Dimensional Motion Question 182
For a stone thrown from a lower of unknown height, the maximum range for a projection speed of 10 m/s is obtained for a projection angle of $ 45{}^\circ . $ The corresponding distance between the foot of the lower and the point of landing of the stone is
Options:
A)  $ 10m $
B)  $ 20m $
C)  $ ( \text{20/}\sqrt{3} )\text{ m}!!!! $
D)$ ( 10/\sqrt{3} )\text{ m} $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ \tan \theta =\frac{{{u^{2}}}{\text{Rg}} $
$ \Rightarrow \text{R},,\text{=}\frac{{{u^{2}}}{g\tan \theta }=\frac{100}{10\times \sqrt{3}}=\frac{10}{\sqrt{3}}\text{ m} $
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