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Question

A projectile thrown with an initial speed u and angle of projection 15 to the horizontal has a range R. If the same projectile is thrown at an angle of 45 to the horizontal with speed 2u, its range will be


A

12 R

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B

3 R

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C

8 R

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D

4 R

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Solution

The correct option is C

8 R


R=u2 sin 2 θg R u2 sin 2 θR2R1=(u2u1)2(sin 2 θ2sin 2 θ1)R2=R1(2uu)2(sin 90sin 30)=8 R1


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