Need Source of Projectile in Vacuum Outcome

AI Thread Summary
Shooting a projectile at a 45-degree angle maximizes its horizontal distance in a vacuum due to optimal initial velocity distribution between vertical and horizontal components. This conclusion can be derived from kinematic equations based on Newton's second law, which separates motion into vertical and horizontal components. For further understanding, researching "Projectile Motion" will provide detailed explanations and derivations. The discussion emphasizes the importance of these principles for scientific experiments. This foundational knowledge is essential for accurately predicting projectile behavior in a vacuum.
Zinic
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https://www.physicsforums.com/showthread.php?t=75116 (the url has spaces) it said "shooting the projectile at 45 degrees will yield the greatest distance..." Where do you find that information. I need to know for my scientific experiment for school. I know this fact is true, but where is the source of this information? Thnx in advance.

Sorry if I post this is the wrong section. I really don't know where this thread should go O.o
 
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Zinic said:
http ://ww w.physicsforums.com/showthread.php?t=75116 (the url has spaces) it said "shooting the projectile at 45 degrees will yield the greatest distance..." Where do you find that information. I need to know for my scientific experiment for school. I know this fact is true, but where is the source of this information? Thnx in advance.

Sorry if I post this is the wrong section. I really don't know where this thread should go O.o
One can derive a set of kinematic equation (for constant acceleration) using Newton's second law. The equations of most interest are,

s = v_0t+\frac{1}{2}at^2

And the defintion of speed,

v = \frac{d}{t} \Rightarrow t = \frac{d}{v}

One then needs to consider motion in the vertical and horizontal directions separately. For more information you can try Googling for Projectile Motion.
 
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