Can an arrangement be found to adva

Can an arrangement be found to advance a peg into the fifth row beyond the barrier? This turns out to be rather difficult, and after some unsuccessful attempts the suspicion takes hold that the task may be impossible. But even the strongest suspicion is not enough. A convincing argument is needed, proving beyond doubt that it is not possible to find any arrangement of pegs behind the barrier that can be used to jump a peg into the fifth row.