one of the F1 car / cars races

[Tan Elaine]

If we could get near when one of the F1 car / cars races by, we should be able to get a good picture of the driver.

Which word in bold should I use? Thanks.

 

[Route21]

As an NES but not a teacher, I see two potential conflicts here:

1. "..one of the F1 car/ cars...." - would you say " ...one of the dog (singular)" ?
2. Subject/verb agreement. "...car/cars races by..."

Regards
R21