In the single-player Impact game mode, you are able to boost with L2, but you cannot attack normally nor can you drop bombs. Your boost is also much more effective in this game mode: if you boost through an enemy or an obstacle, your boost meters fills slightly. Your goal is to boost through enemies and obstacles continuously for 30 seconds so that your boost meter doesn't run out during that time.
This is one of the toughest trophies in the game, so expect many attempts before earning this trophy. The Impact level comes in "waves" (just like Endless mode), with each wave ending with a nuke that destroys everything on the planet. Aim to get this trophy during the first wave. When the first nuke arrives, make sure you avoid – if you hit it, it will destroy everything on the planet, so you will have no more enemies or obstacles to keep your boost meter full with. See the following video guide: