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 $\mathrm { m } \gamma v ^ { 2 }$ (where m is mass of the ball, $v$ is its instantaneous velocity and $\gamma$ is a constant). Time taken by the ball to rise to its zenith is:\\
(1) $\frac { 1 } { \sqrt { \gamma g } } \ln \left( 1 + \sqrt { \frac { \gamma } { g } } \mathrm {~V} _ { 0 } \right)$\\
(2) $\frac { 1 } { \sqrt { \gamma g } } \tan ^ { - 1 } \left( \sqrt { \frac { \gamma } { g } } \mathrm {~V} _ { 0 } \right)$\\
(3) $\frac { 1 } { \sqrt { \gamma \mathrm {~g} } } \sin ^ { - 1 } \left( \sqrt { \frac { \gamma } { \mathrm {~g} } } \mathrm {~V} _ { 0 } \right)$\\
(4) $\frac { 1 } { \sqrt { 2 \gamma g } } \tan ^ { - 1 } \left( \sqrt { \frac { 2 \gamma } { g } } \mathrm {~V} _ { 0 } \right)$