An image stabilization on a Nikon S 6100?

I recently bought the camera mentioned above and can't seem to take photos of anything moving, even a little bit. I would like to know if there's a "sports mode" and if so how to get to it.

Its all about shutter speed. The faster the shutter speed, the more likely the subject will be sharp.
The Nikon s6100 will have a sport mode which will select the fastest shutter speed possible.
If you can select a higher ISO, for instance ISO 800, this may help.

The image stabilization on the s6100 should also benefit, but bumping up the ISO as mentioned will help more.

I'm not a fan of touchscreen interfaces on cameras, but a Sport mode will definitely be in there somewhere.

The MANUAL will tell you if there's a sports mode