Physics Equation Developed to Explain Impossible Soccer Kick

At a 1997 soccer match, Roberto Carlos scored a goal against the French national team that seemed physically impossible. The ball seemed to curve around the French players. Physicists couldn’t explain the ball’s movement:
A group of French scientists, perhaps desperate to prove that at least the laws of physics weren’t actively rooting against their national team, have been able to figure out the trajectory of the ball and, with it, an equation to describe its unusual path.
It all comes down to the fact that, when a sphere spins, its trajectory is a spiral. Usually, gravity and the relatively short distance the ball travels cover up this spiral trajectory, but Carlos was a mere 115 feet away and kicked the ball hard enough to reveal its true spiral-like path. As you can see in the diagram above, the ball would have kept spiraling if gravity (and the netting) hadn’t gotten in the way.
At the link, you can see a video of the kick.
Link | Image: New Journal of Physics









