A top fuel dragster and a Bugatti Veyron race in a short straight line drag race. At the start of the race the top fuelers is standing still waiting for the Bugatti to show up. The race starts when the Bugatti crosses the starting line at its top speed of 400 km per hour. At that instant, the top fuel driver accelerates to 4.5 gs and continues to do so for the entirety of the race. How long will it take the top fueler catch the Bugatti?