I never thought about using the warthog to launch myself into that room befor the doors closed!
It’s very, very hard to do. You’re better off launching yourself through that window that’s near the door. I believe I saw a speedrun in which the player went through it.
That’s not even the fast way…
Skip to 32:00.
And btw, pushing through the door with the warthog isn’t hard if you know exactly how to do it.