The TNT Cart, added by Railcraft, is a Minecart with ignitable TNT inside it. To light the TNT Cart, either use a Flint and Steel or have it travel over a powered Priming Track.
For an especially deadly setup, place a powered Priming Track and then a powered Launcher Track in consecutive order after a short line of normal Tracks, and then place a TNT Cart on it and give it a little push. Fuse length and launch power can be adjusted with a Crowbar.
TNT Cart can be exploded directly by letting it go down an unpowered Elevator Tracks. It explodes upon reaching the last elevator track. It will not explode if it is carried up the elevator tracks (powered elevator tracks).