If R and H represent the horizontal range and | vedclass

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Question

$\begin{array}{l}
R = \frac{{{u^2}\sin 2	heta }}{g} = \frac{{2{u^2}\sin 	heta .\cos 	heta }}{g}\
H = \frac{{{u^2}{{\sin }^2}	heta }}{{2g}}\
\

Vedclass · Accepted Answer

$\frac{R}{H} = 4\,\cot \,	heta $

Vedclass · Answer

$\begin{array}{l}
R = \frac{{{u^2}\sin 2	heta }}{g} = \frac{{2{u^2}\sin 	heta .\cos 	heta }}{g}\
H = \frac{{{u^2}{{\sin }^2}	heta }}{{2g}}\
	herefore \,\frac{H}{R} = \frac{{{u^2}{{\sin }^2}	heta }}{{2g}} 	imes \frac{g}{{2{u^2}\sin 	heta .\cos 	heta }}\
\,\,\,\,\,\,\,\,\,\,\, = \frac{{\sin 	heta }}{{4\cos 	heta }}\
 \Rightarrow \frac{R}{H} = \frac{{4\cos 	heta }}{{\sin 	heta }}\,or\,,\,\frac{R}{H} = 4\cos 	heta 
\end{array}$

If $R$ and $H$ represent the horizontal range and the maximum height achieved by a projectile then which of the relation exists?

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