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Physics-

General

Easy

Question

Two projectile are thrown with the same initial velocity at angles $alpha$ and $left parenthesis 90 degree minus alpha right parenthesis$ with the horizontal. The maximum heights attained by them are $h subscript 1 end subscript$ and $h subscript 2 end subscript$ respectively. Then $fraction numerator h subscript 1 end subscript over denominator h subscript 2 end subscript end fraction$ is equal to

$\sin^{2} α$
$\cos^{2} α$
$\tan^{2} α$
1

The correct answer is: $tan to the power of 2 end exponent invisible function application alpha$

$h subscript 1 end subscript equals fraction numerator v to the power of 2 end exponent sin to the power of 2 end exponent invisible function application alpha over denominator 2 g end fraction comma blank h subscript 2 end subscript equals fraction numerator v to the power of 2 end exponent cos to the power of 2 end exponent invisible function application alpha over denominator 2 g end fraction comma fraction numerator h subscript 1 end subscript over denominator h subscript 2 end subscript end fraction equals tan to the power of 2 end exponent invisible function application alpha$

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