Word for increasing acceleration

Solution 1:

The term in physics for the rate of change in acceleration appears to be "jerk", "jolt", "lurch", or "surge".

So maybe the comparative form is "jerkier"?

I would probably just say you "go faster faster".

See the Wikipedia article.

Solution 2:

In a long career in physics I have never met a general word that describes an increasing acceleration in the same way that acceleration describes an increasing velocity.