Velocity, acceleration, jerk, snap, crackle, pop, stop, drop, roll....

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SUMMARY

The discussion centers on the concepts of motion in physics, specifically the relationships between velocity, acceleration, jerk, snap, crackle, pop, stop, drop, and roll. It is established that acceleration is defined as the change in velocity, while jerk is the change in acceleration. The conversation highlights the hierarchical nature of these terms, where each subsequent term represents a change in the previous one, leading to a complex understanding of motion. The discussion also emphasizes that most physical phenomena can be described using first and second order differential equations, particularly noting that acceleration is the second derivative of position.

PREREQUISITES
  • Understanding of basic physics concepts such as velocity and acceleration
  • Familiarity with differential equations, particularly first and second order
  • Knowledge of calculus, specifically derivatives
  • Concept of motion and its mathematical representation
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  • Study the mathematical foundations of first and second order differential equations
  • Explore the implications of jerk and snap in real-world motion scenarios
  • Investigate the applications of these concepts in physics simulations
  • Learn about the role of mass in the equations of motion
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Students of physics, educators teaching motion dynamics, and professionals in fields requiring a deep understanding of motion and its mathematical descriptions.

sassafrasaxe
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Edit: I see this was discussed in the related thread sorry for a repost.
If acceleration causes a change in velocity, and jerk causes a change in acceleration, snap causes a change in jerk, crackle causes a change in snap, pop causes a change in crackle, stop causes a change in pop, drop causes a change in stop, roll causes a change in drop... and there are infinitely more layers?
Then if every change is causes by a lower level change, is there ever a beginning to any motion? What is actually happening when things begin moving? Sorry for the dumb question.
 
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sassafrasaxe said:
If acceleration causes a change in velocity...
Acceleration is the change in velocity, not a cause of it that happens before.
 
Most of physics is captured by first and second order differential equations. For instance, the second derivative of position is acceleration which typically depends on position, velocity and mass.
 
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