I was using the 70-200 f/4 in the last F1 Singapore. Had a few good shots, but sometimes wished for faster lens.
You have to go on manual focus and pan the shot. Takes some practise, and don't be discouraged. Keep trying. I must have taken close to 400+ shots that night. But only a handful of about 20-30 shots are "passable".
Good luck and have fun.