1. The problem statement, all variables and given/known data Two balls A and B simultaneously start to roll down without friction along two different chords of a circle as shown in the figure. Find which ball will hit the circle first? (image attached) 2. The attempt at a solution I have divided the velocity of the balls into vector components, for A being mgcos(αA) and B being mgcos(αB). Since αA > αB, and being in the first quadrant of the unit circle, I have concluded that mgcos(αA) < mgcos(αB). However, I am stuck at how to determine which one will hit the circle first since B has to travel a longer distance that A. I appreciate your assistance.