In order to get the Trophy, you will have to clear Chapter 1 (Flight) under par time. To access the section for these trophies, You will have had to beat the game atleast once, and then you can find it under the Race section from the main menu.
You will need to clear this level in under 6 minutes. Below I have added a video, showing you what route I took.
I also have added another video under there showing a very usefull trick called Side Jump boosting. Its where Faith, will gain maximum speed, from taking a side step and then turning a 90 degree angle. Very usefull when you to go fast around around corners, or over a longer stretch.
I take no credit for these videos, all credit goes to Prill on PSN, and goes by the name of Ovendonkey on Youtube.
With this video, I was able to get the trophy on my first try. I was not able to replicate all the tricks in this video, but with some practice you should be able to do them pretty easily. My final time was 5:23:44