Is the trajectory parabolic or elliptical?

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SUMMARY

The discussion centers on the distinction between parabolic and elliptical trajectories in the context of projectile motion. Parabolic shooting is defined as an orbit interrupted by the ground, which assumes a uniform gravitational force. In contrast, elliptical trajectories arise from central forces, indicating that a parabolic path is merely a segment of an ellipse. The conversation emphasizes the importance of understanding these fundamental differences when calculating projectile speeds and applying the laws of motion.

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  • Understanding of projectile motion principles
  • Familiarity with gravitational forces and their effects
  • Knowledge of angular momentum conservation
  • Basic geometry of conic sections, particularly ellipses and parabolas
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  • Research the laws of motion for projectiles in a uniform gravitational field
  • Study the properties of elliptical orbits and their mathematical representations
  • Explore the conservation of angular momentum in various physical systems
  • Learn about the differences between central forces and uniform forces in physics
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Physics students, educators, and anyone interested in the dynamics of projectile motion and orbital mechanics will benefit from this discussion.

farolero
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Parabolic shooting is a kind of orbit interrupted by the ground.

So I was wondering if I could calculate speeds of the bullet accounting for conservation of angular momentum.

Would this diagram be correct?

IMG_20161214_143014_zpsoqhx1v9p.jpg
 
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Why don't you try yourself to see if the result is compatible with the one obtained by using the laws of motion for projectile in uniform field?
 
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farolero said:
Parabolic shooting is a kind of orbit interrupted by the ground
Not really. A parabola comes from assuming a uniform gravitational force. When you talk about orbits you are talking instead about a central force. It would be the tip of an ellipse, not a parabola.

Edit: sorry @nasu I basically fed him the info you were trying to get him to discover.
 
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