Friday, January 29, 2016

Trajectory of a Basketball

This animation represents what a basketball looks like when you throw it from a high position relative to the ground.  If you just drop it, gravity will pull it straight down to the ground.  However, if you spin the basketball  towards you, the basketball will start to move forward as well as downward.  This is because F = w x v.  W is the angular velocity vector of the basketball while v is the velocity vector.  If you spin the basketball towards you and cross product this with the velocity downward, the basketball will have a resultant force away from you.  This simulation represents the basketball's path as it falls with both angular velocity and the gravitational pull to the earth.


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