Shape of Projectile: Elliptical Equation

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SUMMARY

The discussion centers on the shape of a projectile and whether it can be represented by an elliptical equation. Participants express skepticism regarding the notion that a projectile's trajectory could be elliptical, emphasizing the need for specificity in the question posed. The consensus is that there is no established basis for deriving an elliptical equation for projectile motion, as traditional physics dictates that projectiles follow parabolic paths under uniform gravitational influence.

PREREQUISITES
  • Understanding of classical mechanics and projectile motion
  • Familiarity with the equations of motion in physics
  • Knowledge of conic sections, specifically ellipses
  • Basic mathematical skills for deriving equations
NEXT STEPS
  • Research the equations of motion for projectiles under gravity
  • Study the properties of conic sections, focusing on ellipses
  • Explore the differences between parabolic and elliptical trajectories
  • Investigate advanced topics in physics related to non-linear motion
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in the mathematical modeling of projectile motion.

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Can we derive the equation of a projectile to be elliptical.
 
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This is a very vague question. You need to be more specific.

In general, I see no reason what a projectile's shape should even BE elliptical, much less be "derivable" as such. I really have no idea what you are talking about.
 

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