I am keenly aware that he was going extremely fast exceeding the speed limit by over 30kph. Sorry couldn't squeeze exceedingly in...

Oxword dictionary: extremely(it is used mostly with adjectives and adverbs) - to a very high degree - extremely important, useful, complicated. exceedingly( formal which is becoming old-fashioned) - extremely, very, very much. keen - wanting to do sth or to happen sth very much, enthusiastic about activity, idea.