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  4. A projectile fired with initial velocity v at some angle θ has a range R. If the initial velocity be doubled at the same angle of projection, then the range will be

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Q. A projectile fired with initial velocity $v$ at some angle $\theta$ has a range $R$. If the initial velocity be doubled at the same angle of projection, then the range will be

Motion in a Plane

Solution:

$ R=\frac{u^{2} \sin 2 \theta}{g}$
If $u$ is doubled, $R$ the range will be quadrupled