2 problems. I have the Coolpix L100. Sometimes my photos are blurry and also. there is a delay when I snap a photo which isnt good when trying to get action photos.
With autofocus digital cameras, blurred photos are almost always a result of camera shake. You need to hold the camera still even after pressing the button, as there is often a short delay before the shutter fires.
Many digital cameras have a two-stage shutter press- first pressure causes the camera to focus, then the follow through pressure takes the picture. If you are rushing this, you may get unfocussed shots.
If you take lots of action pictures, you will have to work on a technique of partially pressing the shutter to get focus in anticipation of the shot (perhaps focussing on where the action will occur), then holding it part-pressed until the moment you want to capture. This is really no more of a problem than setting an anticipatory focus on a manual focussing film camera use to be. Some more complex digital cameras will allow you to turn off auto focus and focus manually.