Machinbird, what would it take to throw something four football fields? Answer that and I'll entertain your notion.
I'd rather expect they were large more or less flat surfaces that could have flown a little as well as fluttered on their way down. That might be pieces of one of the wings. Then, again, it might not. But, THROWN more than four football fields? About the only thing that had a prayer of being thrown that far would be the VS. And we know where it was found.