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Related Concept Videos

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Motion of a Projectile

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Quadratic models are mathematical representations used to describe relationships in which the rate of change changes at a constant rate. These models appear in a wide variety of natural and engineered systems, especially those involving motion, forces, and optimization. One common application is analyzing the vertical motion of objects influenced by gravity, such as a ball thrown into the air.In such scenarios, the object's height changes over time in a curved pattern, rising to a maximum point...
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Related Experiment Video

Updated: May 6, 2026

Biomechanical Analysis Methods to Assess Professional Badminton Players' Lunge Performance
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A Study of Shuttlecock's Trajectory in Badminton.

Lung-Ming Chen1, Yi-Hsiang Pan, Yung-Jen Chen

  • 1Department of Computer and Communication, Sue-Te University , Taiwan ROC.

Journal of Sports Science & Medicine
|October 24, 2013
PubMed
Summary

This study developed a badminton shuttlecock motion equation using aerodynamics, finding drag force is proportional to velocity squared. This provides an objective method for shuttlecock quality testing and training improvements.

Keywords:
Projectile motionaerodynamicsbadminton

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Area of Science:

  • Aerodynamics
  • Sports Science
  • Physics

Background:

  • Traditional methods for shuttlecock quality assessment are subjective.
  • Understanding shuttlecock flight dynamics is crucial for performance analysis and equipment testing.

Purpose of the Study:

  • To construct and validate a motion equation for shuttlecock flight.
  • To determine the relationship between air resistance and shuttlecock velocity.
  • To provide an objective method for shuttlecock velocity measurement.

Main Methods:

  • Applied aerodynamic theories and laws of motion.
  • Constructed a motion equation incorporating gravity and air resistance.
  • Determined terminal velocity to validate the trajectory equation.

Main Results:

  • The motion equation accurately predicted shuttlecock trajectory, fitting measured data.
  • Air drag force was found to be proportional to the square of shuttlecock velocity.
  • Stroke angle and strength significantly influence shuttlecock trajectory.

Conclusions:

  • The developed motion equation offers a scientific basis for shuttlecock analysis.
  • Findings can replace subjective quality testing with objective measurements.
  • Results can enhance badminton player training methodologies.