Re: 45 degree is optimal angle for firing for distance?
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As previously noted, if you neglect friction and the target is at the same altitude, 45 degrees. Standard problem in first-year physics to prove it using calculus.
In the real world, the atmosphere is thinner higher up. Max range for the 5" guns in service in the navy is achieved at 47 degrees, not 45, because of the shell suffering less speed loss higher up. (It's really just a curiosity - the extra range between 40 and 45, or 45 and 47, degrees is tiny.)
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Is there much use today for any large bore ballistic weaponry?
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