The Colts, who tied for the NFL's worst record last season at 2-14, improved to 10-5 with their win over the 2-13 Chiefs.
Rookie quarterback Andrew Luck, who the Colts claimed with the number one pick in the NFL Draft thanks to their woeful record, hit a leaping Reggie Wayne in the back of the end zone for the winning touchdown with 4:08 left in the game.
Luck set the league record for passing yards in a season for a rookie, eclipsing the mark of 4,051 yards last season by Cam Newton of the Carolina Panthers and he still has next week's regular season-ending game against AFC South champion Houston Texans.
(Reporting by Larry Fine, Editing by Gene Cherry)
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