A ball is thrown upward with an initial velocity V0 from the surface of the earth. The motion of the ball is affected by a drag force equal to mγv2 (where m is mass of the ball, v is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith is:

• A. \(\frac{1}{{\sqrt {\gamma {\rm{g}}} }}{\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\sqrt {\frac{\gamma }{{\rm{g}}}} {{\rm{V}}_0}} \right)\)
• B. \(\frac{1}{{\sqrt {\gamma {\rm{g}}} }}{\rm{si}}{{\rm{n}}^{ - 1}}\left( {\sqrt {\frac{\gamma }{g}} {{\rm{V}}_0}} \right)\)
• C. \(\frac{1}{{\sqrt {\gamma {\rm{g}}} }}{\rm{ln}}\left( {1 + \sqrt {\frac{\gamma }{{\rm{g}}}} {{\rm{V}}_0}} \right)\)
• D. \(\frac{1}{{\sqrt {2\gamma {\rm{g}}} }}{\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\sqrt {\frac{{2\gamma }}{{\rm{g}}}} {{\rm{V}}_0}} \right)\)