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Question

A boy playing on the roof of a 10m high building throws a ball with a speed of 10m/s at an angle of 30o with horizontal. How far from the throwing point will the ball be at the height of 10m from the ground ? (g=10m/s2)

A
5.20m
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B
4.33m
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C
2.60m
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D
8.66m
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Solution

The correct option is D 8.66m
We want distance of the point P where height of ball from ground is 10m. This is the value of range as roof height is same as of point P(at height 10m)
Range =v2sin2θg=102sin600g=10sin600=1032=8.66 m

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