Balls To The Wall Meaning

(US, idiomatic, slang) (With) maximum effort or commitment. [since the 1960s]

Example: 2006, Michael D. Brown, Testimony before the US Senate Homeland Security Committee:
  I told the staff...the day before the hurricane struck that I expected them to cut every piece of red tape, do everything they could, that it was balls to the wall, that I didn't want to hear anybody say that we couldn't do anything—to do everything they humanly could to respond.