Max distance when an angle for a projectile is pi/4 neglecting air resistance

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SUMMARY

The optimal launch angle for maximizing the distance of a projectile, when air resistance is neglected, is \(\frac{\pi}{4}\) radians. However, when air resistance is considered, this angle may no longer yield the maximum distance. The article referenced in the discussion highlights that the optimal launch angle is influenced by the specific characteristics of the drag force acting on the projectile. Understanding these dynamics is crucial for accurate projectile motion analysis.

PREREQUISITES
  • Understanding of basic projectile motion principles
  • Familiarity with the concept of air resistance and drag forces
  • Knowledge of trigonometric functions and their applications in physics
  • Basic calculus for analyzing motion equations
NEXT STEPS
  • Research the effects of air resistance on projectile motion
  • Study the mathematical modeling of drag forces in physics
  • Explore advanced projectile motion simulations using software tools
  • Learn about optimizing launch angles for various conditions in sports science
USEFUL FOR

Physics students, engineers, and anyone interested in the dynamics of projectile motion, particularly in contexts where air resistance plays a significant role.

Dustinsfl
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We know that the angle of \(\frac{\pi}{4}\) causes a projectile to travel its max distance when air resistance is neglected.

When we consider air resistance is the \(\frac{\pi}{4}\) still the angle that produces the max distance? With air resistance, the projectile with of course travel less than the distance without air resistance though.
 
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