Accelerating towards a gap will not make you jump it, you'll still go in the hole, but if you are accelerating your car will probably land right side up, While if you slam on the breaks the nose of your car will go down, and you are more likely to land upside down.

Moral: If you can stop in time DO!
If you can't, giving it some gas increases you chances of landing on the tires, rather than your head.