Final answer:
The yo-yo travels the farthest from the finger when it is at the bottom of the string.
Step-by-step explanation:
The yo-yo travels the farthest from the finger when it is at the bottom of the string. This is because at the bottom of the string, the yo-yo has the highest potential energy and can convert it into kinetic energy to travel the farthest. When the yo-yo is at the top of the string or midway along the string, it has less potential energy and therefore travels a shorter distance.