What is the difference between paradox and contradiction?

A paradox is a disagreement between two people who may both be correct. We live with it. According to the theory or relativity nothing moves faster than the speed of light. A study indicated that an electron was spinning faster than the speed of light. That was a paradox. There is probably an explanation either with one theory or with a measurement. For now we live with it.

A contradiction occurs when one person says the car came from the east. Another person said the car came from the west. One person contradicted the other. When the cop came and took measurements. He figured out which one lied.