Ulster, with powerful ball carriers in the backs and forwards, ran the show in the second half with Limavady clubman John Semple impressing with a 16-point personal tally.
Semple converted four of Ulster's touchdowns, including his own effort, and he also kicked a penalty. The hosts' other tries came from number 8 Peter Corbett (2), centre Stephen Seymour and winger Richard Bunn.
Meanwhile, the Eoin Collins-captained Leinster got the better of Munster on the opening day of the championship, securing an 18-10 victory.
At the splendid Malahide RFC venue, Seapoint out-half Brian Keegan kicked six penalties as the hosts claimed a morale-boosting win.
Chasing an unprecedented third Grand Slam in a row in this competition, Munster got the game's only try through St. Senan's back rower Stephen Ryan, with out-half Eamon Ronan of Cobh Pirates kicking a conversion and a penalty.
In next Saturday's second round games, Munster will entertain Ulster at Ballincollig RFC while Leinster are the visitors to Ballinasloe for Connacht's one and only home match in the competition. Both games will kick off at 2.30pm.
For photos of the Ulster junior side's win over Connacht at Armagh RFC, please click here.