How can I take digital pictures at night without them getting blurry?

My digital camera is a Nikon Coolpix 4800.

I've been trying to take pictures at a racetrack at night. My daytime pictures come out fine, but whenever I take pictures at night, the images get all blurred looking. At night they light the track (like a stadium). I could understand a picture of a moving car being blurry - but even the pictures I take of people standing still look weird - like the person's blurry twin is standing right next to them.

The manual is confusing - I don 't understand much of the terminology in it.

Simple, you NEED a tripod! :)

use a tripod or set the shutter speed and iso manually. im not familiar with that camera, but you should be able to look in the index of the manual to see how to set it.
iso= how sensitive to light it is. high iso result in grain in your images
shutter speed= how long shutter is open. fast shutter speeds make it less blurry but darker. compensate using higher iso speeds.

Get a tripod. You can also hike up the ISO but there will be more noise.

the 4800 doesn't have the new technology to help you with night pictures