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A solid sphere of mass m and radius R is...

A solid sphere of mass `m` and radius `R` is placed on a smooth horizontal surface. A sudden blow is given horizontally to the sphere at a height `h = 4R//5` above the centre line. If `I` is the impulse of the blow then find
(a) the minimum time after which the highest point `B` will touch the ground.
(b) the displacement of the centre of mass during this internal.

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