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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:

ManipalManipal 2003Motion in a Plane

Solution:

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