A guy that I work with and I are having a little debate. He is saying that with an arrow flying at 310fps a deer will be less likely to jump the string than at let's say 280. I said that he's right in a sense. I'm saying that the "actual" time difference isn't that great to say that with 100% confidence. Does anyone know how to figure out how much time it takes for an arrow to hit a target at a given distance at any given speed? Is there an equation for such a thing?

Thanks