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Physics-

General

Easy

Question

Two stones of equal masses are dropped from a rooftop of height $h$ one after another. Their separation distance against time will

Remain the same
Increase
Decrease
Be zero

The correct answer is: Increase

$h equals fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent$
$h to the power of ´ end exponent equals fraction numerator 1 over denominator 2 end fraction g open parentheses t minus t subscript 0 end subscript close parentheses to the power of 2 end exponent$
$h minus h to the power of ´ end exponent equals fraction numerator 1 over denominator 2 end fraction g left square bracket t to the power of 2 end exponent minus open parentheses t minus t subscript 0 end subscript close parentheses to the power of 2 end exponent right square bracket$
$equals fraction numerator 1 over denominator 2 end fraction g open square brackets t to the power of 2 end exponent minus t to the power of 2 end exponent minus t subscript 0 end subscript superscript 2 end superscript plus 2 t t subscript 0 end subscript close square brackets$
$increment h equals fraction numerator 1 over denominator 2 end fraction g t subscript 0 end subscript open parentheses 2 t minus t subscript 0 end subscript close parentheses$
$increment h$ is increasing with time

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