A ball moves freely on the surface of a round billiardtable, and undergoes elastic reflections at the boundaryof the table. The motion is frictionless, and once startedit continues indefinitely. The initial conditions are thatthe ball starts at a point A on the boundary and that thechord AB drawn in the direction of the initial velocitysubtends an angle a at the centre O of the table. Discussthe dependence of the trajectory of the ball on a.

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Answered: A ball moves freely on the surface of a…

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