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A ball is thrown upward with an initial ...

A ball is thrown upward with an initial velocity `V_0` from the surface of the earth.The motion of the ball is affected by a drag force equal to `mgammav^2` (where m is mass of the ball, v is its instantaeous velocity and `gamma` is a constant).Time taken by the ball to rise to its zenith is :

A

`(1)/(sqrt gammag)tan ^(-1) (sqrt((gamma)/(g))V_(0))`

B

`(1)/(sqrtgammag) sin ^(-1) (sqrt((gamma)/(g))V_(0))`

C

`(1)/(sqrtgamma)"In"(1+sqrt((gamma)/(g))v_(0))`

D

`(1)/(sqrt2 gammag)tan^(-1)(sqrt((2gamma)/(g))V_(0))`

Text Solution

Verified by Experts

The correct Answer is:
A
(a).
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