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Q.

A particle is projected horizontally from the top of a tower with a velocity v0. If v be its velocity at any instant, then the radius of curvature of the path of the particle at the point (where the particle is at that instant) is directly proportional to vn, then find the value of ‘n’.

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answer is 3.

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Detailed Solution

R=V2g cos θ, where θ is the angle between V and horizontal.Also cos θ=V0V⋅V=V3gVo;RαV3

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A particle is projected horizontally from the top of a tower with a velocity v0. If v be its velocity at any instant, then the radius of curvature of the path of the particle at the point (where the particle is at that instant) is directly proportional to vn, then find the value of ‘n’.