# The story of a ball and a slope SJPO question

**Classical Mechanics**Level 3

If the speed of the ball after the collision is \(\frac { 4 }{ 5 } \) times the speed of the ball just before the collision, find the total distance traveled by the ball when it comes to a complete stop.

The total distance traveled by the ball can be expressed as \(\frac { a }{ b } L\). What is \(a+b\)?

**Extra fact**: This is one of the easiest problems from the 2012 SJPO Special Round with a rating of only 5m.

This question is part of my set SJPO Practice Questions.