A projectile fired with Initial velocity u at some angle - 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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The Equation for the Path of Projectile

A projectile ...

Question

A projectile fired with Initial velocity $u$ 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

2 R

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\frac{R}{2}

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R

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4 R

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Solution

The correct option is D $4 R$

As Range= $\frac{u^{2} sin 2 θ}{g}$ or $R α u^{2} [θ =$ constant]
And for $u$ initial velocity and $θ$ initial angle Range= $R$
Then for $2 u$ initial velocity and $θ$ initial angle range $4 R$ .

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A projectile fired with Initial velocity u 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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A projectile fired with Initial velocity $u$ 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

The correct option is D $4 R$

As Range= $\frac{u^{2} sin 2 θ}{g}$ or $R α u^{2} [θ =$ constant]
And for $u$ initial velocity and $θ$ initial angle Range= $R$
Then for $2 u$ initial velocity and $θ$ initial angle range $4 R$ .