A ball is thrown upward with an initial velocity V 0 from the surface of the earth. The motion of the ball…

1. $\frac{1}{\sqrt{\mathrm{\gamma }\mathrm{g}}}\ln \left(1+\sqrt{\frac{\mathrm{\gamma }}{\mathrm{g}}}{\mathrm{V}}_0\right)$
2. $\frac{1}{\sqrt{\mathrm{\gamma }\mathrm{g}}}{\tan }^{-1}\left(\sqrt{\frac{\mathrm{\gamma }}{\mathrm{g}}}{\mathrm{V}}_0\right)$
3. $\frac{1}{\sqrt{\mathrm{\gamma }\mathrm{g}}}{\sin }^{-1}\left(\sqrt{\frac{\mathrm{\gamma }}{\mathrm{g}}}{\mathrm{V}}_0\right)$
4. $\frac{1}{\sqrt{2\gamma \mathrm{g}}}{\tan }^{-1}\left(\sqrt{\frac{2\gamma }{\mathrm{g}}}{\mathrm{V}}_0\right)$

Solution

Asked in: JEE Main 2019 (10 Apr Shift 1)

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