A rectangular billiard table has dimensions `AB = 4 sqrt(3)` feet and `BC = 2` feet. Ball 1 is at the centre of the table. Ball 2 moving perpendicular to CD hits ball 1. After the collision ball 2 itself goes straight into the hole at. A Prove that ball 1 will fall into the hole at C. Assume that the balls are identical and their dimensions are too small compared to the dimensions of a hole. All collisions are elastic