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What will be the effect on horizontal range of a projectile when its initial velocity is doubled, keeping the angle of projection same?

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The horizontal range of a projectile is given; Thus when the initial angle of projection is kept same and the velocity is increased 2 times, the horizontal range becomes 4 times the initial horizontal range (the sin term does not change).
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The horizontal range of a projectile is given;

Thus when the initial angle of projection is kept same and the velocity is increased 2 times, the horizontal range becomes 4 times the initial horizontal range (the sin term does not change).

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