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To dwindle, diminish, or fade away; to become fainter or weaker. Used especially, though not solely, in reference to speech or music. He started talking about the tax code, but tailed away when he realized no one was listening. The music from the radio tailed away as the car pulled away from the house. Once famous for creating a huge range of innovative devices, the company's ideas seem to have started tailing away in recent years.
tail awayor tail off
1. To diminish gradually; dwindle or subside: The singer's voice tails away at the end of the song. The fireworks tailed off into darkness.
2. Sports To veer from a straight course. Used of a ball that has been hit or thrown: The pitcher snapped his wrist when throwing the ball, and it tailed away as it approached home plate. The wind caused the football to tail off and the receiver couldn't catch it. The uneven table caused the pool ball to tail off.