Foghorn file Mayor Nelda Martinez leaps into the bay as part of dunking the mayor to kick off Buc Days. Live music, a tailgate party, rodeo, carnival and a parade for the family will be the highlights of the annual Buc Days festival, which runs through May 1. Buc Days, held on the Corpus Christi bayfront, began in 1938 and is the longest running event in the city, with over 45,000 people attending each year. The rodeo includes features the world’s top cowboys and cowgirls competing against one another for the title. The Buc Days Rodeo has become one of…