A smooth ball is projected from a point O on a smooth horizontal plane The vertical...

 

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A smooth ball is projected from a point O on a smooth horizontal plane The vertical and horizotnal componets are u, 2u respectively. The ball impinges normal to a smooth vertical wall at a distance a from O and after rebounding it impinges with the horizontal plane and at the second impact with the plane it comes to the point O. If the coefficient of restitution between wall and the ball is e, and that of between ball and plane is Show that u ga .When e, = e2 =e %3D 2e, (1+2e,) deduce the value of 2. Hence deduce the minimum value of u. A smooth ball is projected from a point O on a smooth horizontal plane The vertical and horizotnal componets are u, 2u respectively. The ball impinges normal to a smooth vertical wall at a distance a from O and after rebounding it impinges with the horizontal plane and at the second impact with the plane it comes to the point O. If the coefficient of restitution between wall and the ball is e, and that of between ball and plane is Show that u ga .When e, = e2 =e %3D 2e, (1+2e,) deduce the value of 2. Hence deduce the minimum value of u.