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A billiard ball initially at rest , is given a sharp impulse by cue. the cue is held horizontally a distance h above the centre line as shown in figure. the centre of the ball leaves the cue with a speed $$ v_0 $$ and no regular velocity because of slipping eventually acquires a final speed $$ \frac {9}{7}V_0 $$ . final the value of h, in cm if radius of ball is 5 cm.

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