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A ball of mass m is thrown upward with a...

A ball of mass m is thrown upward with a velocity `upsilon`. If air exerts an average resisting force F, the velocity with which the ball returns to the thrower is

A

`usqrt(W)/(W+F)`

B

`usqrt(W)/(W-F)`

C

`usqrt(W+F)/(W-F)`

D

`usqrt(W-F)/(W+F)`

Text Solution

Verified by Experts

The correct Answer is:
D
It is clear fro figrue that during upword motion of the ball
`a=-(W+F)/(m)`
now , `v^(2)-u^(2)=2as`
or `0-u^(2)=2[-((W+F)/(m))]s`

`therfore S -(mu^(2))/(2(W+F)`
During down wardmotion of the ball
`a= (W-F)/(m)`
Now , `V^(2)-u6(2)=2a.s` or `V^(2)-0=2a.s=2[(W-F)/(m)][(mu^(2)/(2(W+F)]`
`therefore `v=usqrt(W-F)/(W+F)`
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