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A body when projected vertically up from...

A body when projected vertically up from ground clovers a total distance D during the time of its flight t. If there were no gravity. The distance covered by it during the same time is equal to

A

0

B

D

C

2D

D

4D

Text Solution

Verified by Experts

The displacement of the body during the time t as it reaches the point of projection
`rarr s=0 rarr v_(0)t -(1)/(2) gt^(2)=0 rarr t=(2v_(0))/(g)`
During the same time t, the body moves in absence of gravity through a distance
`D. =v_(0)xxt`, because in absence of gravity g=0
`rarr D. =v_(0) ((2v_(0))/(g))=(2v_(0)^(2))" .....(1)"`
In presence of gravity, the total distance covered is
`=D=2H =(2v_(0)^(2))/(2g) =(v_(0)^(2))/(g)" .....(2)"`
D.=2D.
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