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  4. For a given angle of projection, if the time of flight of a projectile is doubled, the horizontal range will increase to :

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Q. For a given angle of projection, if the time of flight of a projectile is doubled, the horizontal range will increase to :

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Solution:

The formula for time of flight and horizontal ray is given by as $ g{{T}^{2}}=2R\,\,\tan \alpha $ and $ R\propto {{T}^{2}} $ ...(1) From the relation (1), if T is doubled then R will be four times