A problem that annoys the physics teacher.

As far as your "facts" are concerned, let me say a few words.

First of all, it should be pointed out that,

Note 0: The direction of friction generated by tires is forward. It is precisely because the engine does work and produces forward friction that the car can move forward.

Note 1: Only horizontal patterns can generate friction in the forward direction, and the patterns mentioned by the teacher should refer to horizontal patterns.

Note 2: Vertical patterns cannot produce friction in the forward direction. On the contrary, because the area of the horizontal pattern is reduced, the frictional force generated in the forward direction is reduced. Vertical stripes should be used in special circumstances and are generally not used.

Note 3: The speed of a car depends first on its engine power (if it is a person, it is the power that people do work), and second, the friction generated by tire patterns will limit the maximum speed of the car (try to ride a bicycle with smooth tires). Simply put, the more transverse patterns, the faster the maximum speed allowed (whether this maximum speed can be reached depends on the power of the car).

First, you said, "According to the physics teacher, the pattern on the tire is to increase friction";

This statement is correct. Do you think, if the tires are smooth and have no patterns, can the car move forward? You can try to consider riding such a bike. No matter how hard you try, the bike can only slide in place (assuming it won't fall) and can't move forward.

Secondly, you said, "When I watched the F 1 race two days ago, the commentator said that the tires of the F 1 race must have four vertical grooves (along the direction of tire rotation) to prevent accidents caused by excessive grip and speed";

This is also correct and does not contradict the first point. The power of the car in F 1 race is very high. As long as the friction generated by the tire allows, it can reach extremely high speed. It is stipulated that the tire must have four vertical grooves (tire rotation direction), which can of course limit the speed, thus reducing the occurrence of accidents.