Projectile Range: Why 45 Degrees?

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Does anyone know why, mathematically, a projectile gets the maximum range when launched at 45 degrees?
 
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skull said:
Does anyone know why, mathematically, a projectile gets the maximum range when launched at 45 degrees?
Can you derive the range of a projectile in terms of launch angle? (If not, read this: Range of Trajectory) Once you do that, you can find the maximum using basic calculus.