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Bouncing Ball

External video
Florian Korn (2013). "Ball bouncing in slow motion: Rubber ball". YouTube. 
External video
Physics Girl (2015). "Stacked Ball Drop". YouTube. 
striperfly2002 (2012). "Slow Motion Ball Drop". YouTube. 

The physics of a bouncing ball concerns the physical behaviour of bouncing balls, particularly its motion before, during, and after impact against the surface of another body. Several aspects of the bouncing ball's behaviour serve as an introduction to mechanics in high school or undergraduate level physics courses. The exact modelling is complex, however, and of interest in sports engineering.

The motion of a ball is generally described by projectile motion (which can be affected by gravity, drag, the Magnus effect, and buoyancy), while its impact is usually characterized through the coefficient of restitution (which can be affected by the nature of the ball, the nature of the impacting surface, the impact velocity, rotation, and local conditions such as temperature and pressure). To ensure fair play, many sports governing bodies set limits on the bounciness of their ball and forbid tampering with the ball's aerodynamic properties.

The motion of a bouncing ball obeys projectile motion. Many forces act on a real ball, namely the gravitational force (FG), the drag force due to air resistance (FD), the Magnus force due to the ball's spin (FM), and the buoyant force (FB). In general, one has to use Newton's second law taking all forces into account to analyze the ball's motion:


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