As a preliminary, think about the old phonograph records spinning. The closer to the center you get, the slower the speed as you approach the center and there's no motion at the exact center.

Now for my problem. Assume you have a car with perfectly rounded tires moving at 25 mph. Let's focus on the perimeter of a tire and see what happens when you're following a point along the circumference starting from the top of the tire.

From the very top is when the tire is moving at its fastest relative to the ground. As the car is moving forward, the point along the circumference is slowing down as it's approaching the ground and when it's touching the ground, the tire isn't moving at all relative to the ground.

So we have a paradox. The car is moving forward at 25 mph, yet its four tires aren't moving at all at the point they're touching the ground. Can you find a flaw in the logic or can you resolve this paradox?