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Acceleration Due to Gravity

A light and a...

Question

A light and a heavy body, both are dropped simultaneously from the same height. Which will strike the ground earlier ?

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Solution

Ideally, Both will reach at the same time as their acceleration is independent of their mass.
$b y u s i n g 2 n d e q u a t i o n o f m o t i o n$
$s = u t + \frac{1}{2} a_{g} t^{2}$
$w e c a n s e e f r o m a b o v e f o r m u l a t h a t t i m e o f f a l l$
$i s i n d e p e n d e n t o f m a s s o f t h e b o d y,$
$t o c o v e r s a m e f a l l u n d e r a c o m m o n a c c e l e r a t i o n d u e t o g r a v i t y,$
$t h e y b o t h t a k e s s a m e t i m e .$

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