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Given the body speed v and the tire radius r, how to find the tire speed? What is the trajectory of tire mud thrown out? Oblique throw?
However, because the movement of the car body is caused by the displacement between the tire and the ground, the length of the tire is equal to the length of the car body at the same time, so the speed of the tire is also V.

At the moment when the mud leaves the tire, the speed of the mud is equal to the linear speed of the tire, and the direction is tangential.