to run swiftly; to speed; to dash; to rush; to race
to charge ahead (in pursuit of some goal); to push forward
ゴールに向かって突っ走った。
I dashed toward the goal.
彼は今も自分の道を突っ走っている。
He is still racing down his own path.
一度決めたら迷わず突っ走るのが彼の流儀だ。
Once he's decided, charging ahead without hesitation is his style.