According to "Artillery through the Ages: A Short Illustrated History of Cannon, Emphasizing Types Used in America," as posted on the website of the library of the National Park Service: the point blank range of a 3 pound falcon is approximately 417 yards, while the maximum range is 2500 yards.
Works Cited: http://www.nps.gov/history/history/online_books/source/is3/is3c.htm