Can you feel a cruise ship move?

I'm going on a cruise with my family and i'm bringing along my BFF, because my brother is getting married. I'm 14 and I am scared to DEATH that I will feel the boat move. We're going to Cancoon and the Grand Caymens if that helps. Are those places worse for waves and sickness? My mom and dad got plenty of patches for sickness, but I'm still scared that I will feel the movement, I am very sensitive to touch and I get queasy in a car. HELP! :(