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Question Number 26425 by tawa tawa last updated on 25/Dec/17

$$\mathrm{A}\mathrm{body}\mathrm{is}\mathrm{projected}\mathrm{vertically}\mathrm{upward}\mathrm{with}\mathrm{an}\mathrm{initial}\mathrm{velocity}\mathrm{of}\mathrm{u}.\mathrm{Another}$$$$\mathrm{Another}\mathrm{body}\mathrm{is}\mathrm{projected}\mathrm{with}\mathrm{the}\mathrm{same}\mathrm{initial}\mathrm{velocity},\mathrm{t}\mathrm{seconds}\mathrm{after}$$$$\mathrm{the}\mathrm{first}.\mathrm{If}\mathrm{T}\mathrm{is}\mathrm{the}\mathrm{time}\mathrm{when}\mathrm{the}\mathrm{two}\mathrm{bodies}\mathrm{meet},\mathrm{and}\mathrm{g}\mathrm{the}\mathrm{acceleration}$$$$\mathrm{due}\mathrm{to}\mathrm{gravity},\mathrm{Show}\mathrm{that}\mathbf{T}=\frac{2\mathrm{u}+\mathrm{gt}}{2\mathrm{g}}$$

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