A ball of mass moving with a velocity along the -axis, hits another ball of mass which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One piece starts moving along -axis with a speed of The second piece starts moving at an angle of with respect to the -axis. The velocity of the ball moving at with -axis is The configuration of pieces after the collision is shown in the figure below. The value of to the nearest integer is
