Question 8
A ball is shot from corner $A$ of a billiard table $ABCD$ so that the first bounce is on the side $CD$. The ball continues to bounce from the sides of the table (by reflection, at a constant speed and without friction). After exactly five bounces (five reflections from the sides of the table), the ball stops in corner $D$. If $AD=3$ m and $AB=10$ m, what is the total length, in m, of the longest path covered by the ball as it moves from $A$ to $D$?
