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 \(myv^2\) (where \(m\) is mass of the ball, \(v\) is its instantaneous velocity and \(y\) is a constant). The time taken by the ball to rise to its zenith (maximum height) is:
1. \( \frac{1}{\sqrt{y g}} \tan ^{-1}\left(\sqrt{\frac{y}{g} v_0}\right) \)
2. \( \frac{1}{\sqrt{2 y g}} \tan ^{-1}\left(\sqrt{\frac{2 y}{g} v_0}\right) \)
3. \( \frac{1}{\sqrt{y g}} \sin ^{-1}\left(\sqrt{\frac{y}{g}} v_0\right) \)
4. \( \frac{1}{\sqrt{y g}}\ln\left(1+\sqrt{\frac{y}{g} v_0}\right)\)