I don't know about goggles, but I have worn my actual glasses with a strap on the slides (I need them to find my way to the side at the bottom).:lookaroun
I worked at a waterpark in TX for about 8 years and we didn't allow them because people are dumb and bring tons of money to the park and lose it in the rides and guests were always "diving" to find that lost treasure. I don't know if they allow them now.
I'm a contacts wearer so find goggles very helpful when on the slides. From memoryI think on the smaller slides you will be fine with them on, but on things like Summit Plumit etc. you might need to just tie them round your wrist.