The same effect is seem in film cameras and as the zoom increases then so does the need to stabilize the camera. What we are seeing is the digital camera makers are beginning to offer image stabilization just like it made its way into camcorders.
If I'm using the 10X zoom in less than full sunlight (higher speed due to higher ISO helps!) then I know to take care to lean against a post so I don't wobble too much.
It seems that camera movement, while taking photos, really raised its ugly head about the time that digital cameras appeared.
With the film camera you would hold the camera to your eye and compose the shot.
With the digital camera you extend you camera in front of you with your arms and compose the shot in the LCD.
We didn't realize it, but the head makes a pretty good tripod. Your head will have less movement than your extended arms.
I recently experimented with this with a 10X zoom camera. By using the viewfinder instead of the LCD, I got excellent shots at 10X.
Just make sure that your hands and camera are touching your face/head.
You can further steady the shot by leaning your shoulder against a building, tree or post.
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