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A boy on a flat car which is moving up a plane inclined at 53∘ to the horizontal with a constant speed 5 ms-1. He throws a ball towards a stationary hoop located perpendicular to the incline in such a way that the ball moves parallel to the slope of the incline while going through the hoop. The hoop is 4 m in perpendicular direction of inclined plane. The time (in second) taken by the ball to reach the hoop is 2ns. Find the value of n.

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answer is 3.

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Detailed Solution

vy2=uy2−2gcos⁡53∘×4⇒ 02=uy2−2×10×35×4∴ uy=48=43ms−1vy=uy−gcos⁡53∘t00=43−10×35t0∴n=3

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A boy on a flat car which is moving up a plane inclined at 53∘ to the horizontal with a constant speed 5 ms-1. He throws a ball towards a stationary hoop located perpendicular to the incline in such a way that the ball moves parallel to the slope of the incline while going through the hoop. The hoop is 4 m in perpendicular direction of inclined plane. The time (in second) taken by the ball to reach the hoop is 2ns. Find the value of n.