UNSOLVED

Klaus aims his laser pointer down a hole in the ground that's shaped like a quadratic function where y = (x-7)2; with y ranging from 0 to 7 (check the graph below). The laser beam follows a straight line with y = -x + 11.5. After multiple laser beam reflections in the hole and into the circles in the sky, what are the first 6 circles to be hit by the laser? Circles have a radius of 0.5 cm and the following coordinates (x/y):

1: (5/17,5); 2: (9,5/17); 3: (7,5/16); 4: (3/15,5); 5: (10,5/15); 6: (12,5/15,5); 8: (8,5/12,5); 9: (11,5/12); 10: (14/13,5); 11: (2,5/12,5); 12: (3,5/11); 13: (6,5/11); 14: (10/9,5); 15: (12,5/10); 16: (1/9,5)

Download picture here if you want: reflektionen.jpg

Have fun!