You are a chicken that cannot fly in the center of a circular chicken coop.
Farmer joe wants to eat you, but he is lazy and will only catch you if you are at some point on the circumference. Also, he moves at a rate 4 times faster than you along the circumference towards the point you are headed for.
If you get to the circumference before the farmer you can trigger an electric fence and he will die. If he gets to the circumference before you he will catch you and eat you.
Is there any point on the circumference that you can get to before farmer joe?
Hint: Angular velocity.