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Dropping Objects

The variation...

Question

The variation of displacement d with time t in the case of a particle falling freely under gravity from rest is correctly shown in graph

A

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B

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C

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D

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Solution

The correct option is B
$A s w e k n o w,$
$b y u s i n g s e c o n d e q o f m o t i o n,$
$s = u t + \frac{1}{2} a t^{2} : u = 0 (a s p a r t i c l e s t a r t f r o m r e s t) & a_{g} = g$
$s = \frac{1}{2} g t^{2}$
$s α t^{2}$
parabolic relation with time.

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