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Q.

Two balls A and B are thrown with speeds u and u/2 respectively. Both the balls cover the same horizontal distance before returning to the plane of projection. If the angle of projection of ball B is 15o with the horizontal, then the angle of projection of A is

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a

sin−1⁡(1/8)

b

12sin−1⁡(1/8)

c

13sin−1⁡(1/8)

d

14sin−1⁡(1/8)

answer is B.

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Detailed Solution

u2sin⁡2θg=(u/2)2sin⁡30∘g=u28g∴ sin⁡2θ=1/8 or 2θ=sin−1⁡(1/8)or              θ=12sin−1⁡(1/8)
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Two balls A and B are thrown with speeds u and u/2 respectively. Both the balls cover the same horizontal distance before returning to the plane of projection. If the angle of projection of ball B is 15o with the horizontal, then the angle of projection of A is