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Question

# The average velocity of a freely falling body is numerically equal to half of the acceleration due to gravity. The velocity of the body as it reaches the ground is numerically equal to:

A
g
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B
g2
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C
g2
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D
2g
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Solution

## The correct option is A gWe have average velocity =g2 Since it is a free fall, average velocity, v=St=12gt2t=g2, where t is the time of descent and initial velocity is zero.We know that for a free fall, velocity with which it reaches the ground: V=gt, where t is time of descent . Substituting the same in the above equation for average velocity: V2=g2∴V=g

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