Sixby,
The original question was "Can/will a bow that shoots slower cast an arrow farther?" I tried to put the question in terms we all deal with, e.g., will my heavy slower arrow, go further than your lighter faster arrow? The real answer is, it depends!! We're not talking a perfect vacuum, sans gravity. The original question did not mention shooting straight down. If shooting straight down, wouldn't distance and terminal velocity come into play? At some point, as I recall, gravity controls the velocity of a "falling" (shooting straight down) object.