A wall game played with a hard ball and wooden rackets, from jai alai (from Basque, meaning 'merry festival'), a fast sport popular in Spain and Latin America.
From Basque jai 'festival' + alai 'merry.' The full term jai alai came to Spanish and then English through Basque culture in the Iberian Peninsula, where the sport originated centuries ago.
Jai alai is possibly the world's fastest ball sport, with balls reaching 150+ mph, and the Basque language gave us the word even though most English speakers have no idea they're speaking Basque when they say it.
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