Need Source of Projectile in Vacuum Outcome

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SUMMARY

The discussion centers on the principle that launching a projectile at a 45-degree angle maximizes its range in a vacuum. This conclusion is derived from kinematic equations based on Newton's second law, specifically the equations of motion for constant acceleration. The relevant equations include s = v_0t + (1/2)at² and v = d/t, which facilitate the analysis of vertical and horizontal motion separately. For further understanding, users are encouraged to research projectile motion comprehensively.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with kinematic equations for constant acceleration
  • Basic knowledge of projectile motion principles
  • Ability to analyze motion in two dimensions
NEXT STEPS
  • Research "Projectile Motion" in physics textbooks or online resources
  • Study "Kinematic Equations" and their applications in physics
  • Explore "Newton's Laws of Motion" for foundational concepts
  • Examine "Trajectory Analysis" for practical applications in experiments
USEFUL FOR

Students conducting scientific experiments, educators teaching physics concepts, and anyone interested in understanding the mechanics of projectile motion.

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,

[tex]s = v_0t+\frac{1}{2}at^2[/tex]

And the definition of speed,

[tex]v = \frac{d}{t} \Rightarrow t = \frac{d}{v}[/tex]

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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