gas gauge flutters on 2002 Chevrolet S10

it seems it correct itself after you start driving

Asked by for the 2002 Chevrolet S10
Got a 2000 Blazer, normal operation but i dont like it! Go down hill or hit the brakes goes from 1/4 to empty. Nothing you can do but drive it and on level ground it will read correctly. Even the replacement modules do the same thing. Not just S10 but GM.