With Daunte Culpepper being ineffective, QB Joey Harrington got the start for Week 5 as the Dolphins flew to Gillette Stadium for an AFC East match-up with the New England Patriots.  Miami got off to a rough start, as they fell behind 3-0 with Patriots kicker Stephen Gostkowski kicking a 35-yard field goal for the only score of the first quarter.  In the second quarter, Miami continued to trail, as Gostkowski kicked a 31-yard field goal, while Pats QB Tom Brady completed a 10-yard TD pass to WR Troy Brown.  The Dolphins would get back in the game before halftime, as RB Ronnie Brown got a 2-yard TD run and kicker Olindo Mare got a 40-yard field goal to help the Dolphins trail by three at halftime.  In the third quarter, the defense ruled as both teams failed to get a single point.  Unfortunately, in the fourth quarter, New England would get one more touchdown, as Brady completed a 1-yard strike to FB Heath Evans.  From there, Miami failed to catch-up and fell to 1-4 with their defeat.. How many yards was the shortest field goal?