If a particle takes \( t \) second less and acquires a velocity of \( v \mathrm{~ms}^{-1} \) mor...

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If a particle takes \( t \) second less and acquires a velocity of \( v \mathrm{~ms}^{-1} \) more in falling through the same distance on two planets where the accelerations due to gravity are \( 2 g \) and \( 8 g \) respectively then
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