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  4. The maximum range of a projectile is 100 m . The maximum height reached by it is

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Q. The maximum range of a projectile is $ 100\,m $ . The maximum height reached by it is

J & K CETJ & K CET 2009

Solution:

$ R_{\max }=\frac{u^{2}}g=100\,m $
The range of the projectile is maximum for the angle of projection $ \theta =45^{\circ} $ .
When the range is maximum the height attained by a projectile is,
$ H=\frac{u^{2}}4{\,g}=\frac{100}{4}=25\,m $