Projectile Range: Why 45 Degrees?

[skull]

Does anyone know why, mathematically, a projectile gets the maximum range when launched at 45 degrees?

 

[Doc Al]

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.