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The speed of a particle when it is at its greatest height is √(1/5) times of its speed when it is at its half the maximum height.

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The speed of a particle when it is at its greatest height is √(1/5) times of its speed when it is at its half the maximum height. the angle of projection is _____ and the velocity vector angle at half the maximum height is ______.

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The angle of projection = 60°

The velocity vector angle at half the maximum height  = tan-1 √3/2

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