Question

You are running along a circular path. Will your motion always be periodic? When will it not be periodic?

Answer 1

Answer:

Yup! That motion will be periodic motion.

When the object will change the direction then the motion will not be periodic  because velocity changes when direction changes.

Hope this will help yours.

If, you have any problems regarding to mine answer then feel free to ask me.

Thx.

Answer 2

Answer:

yes it is periodic

hope it helps you