Does Air Resistance Alter Optimal Projectile Launch Angles?

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Discussion Overview

The discussion centers on whether air resistance alters the optimal launch angle for projectiles, traditionally considered to be 45 degrees for maximum range. Participants explore the implications of air resistance on projectile motion, considering various factors such as launch height and air density.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant asserts that air resistance does not change the optimal angle, claiming it slows the projectile in all directions.
  • Another participant introduces the complexity of air density changes with height, suggesting that this factor impacts the projectile's behavior, especially over long distances.
  • A different viewpoint emphasizes that the modeling of air resistance is crucial, noting that it is often velocity dependent and affects both vertical and horizontal motion, leading to complex equations for projectile motion.
  • There is a question raised about the definition of "optimal projection," asking whether it refers to the furthest distance or greatest height achieved by the projectile.

Areas of Agreement / Disagreement

Participants express differing views on the impact of air resistance on optimal launch angles, with no consensus reached on how it alters the traditional understanding of projectile motion.

Contextual Notes

Participants highlight various assumptions, such as the conditions under which air resistance is modeled and the definitions of optimal projection, which remain unresolved.

rdavis47
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We all know that 45 degrees is the optimal angle for range when launcing a projectile:

Does this angle change when adding air resistance?

If you know the answer please respond,

If you don't, please go away

rydogg
 
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No. Air resistance slows you in all directions.

But if you are doing something like launching from a higher or lower ground, then it changes.
 
In reality it is more complicated than that. Air density changes with height, the higher you fly, the less resistance you meet. Thus the projectile doesn't flow in the constant conditions, which is especially important when targeting far objects (like 30 km range).
 
Depends on how you model the air resistance... while it will be acting both vertical and horizontal, it's frequently modeled as being velocity dependent. With air resistance, the velocity in both directions will be changing... so you get fun equations to solve along both directions for the ultimate motion of the projectile. Also -- what do you mean by "optimal projection"? Furthest distance? greatest height?
 

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