How is the game of football based upon the principle of linear vectors?

Answer 1

The simplest illustration of this is in the throwing and catching of a pass. The throw is made to a point ahead of the running receiver. Initially, the passer and receiver implicitly agree on the approximate location of this catch point. Both the football and the receiver have a velocity vector. These vectors, as projected ahead in time, must be at their intersection point at the same time. This requires that the catch point be located such that the ratio of the distances of the passer and receiver from it is about the same as the ratio of the speeds of the thrown ball and the receiver. The passer has developed reflexes that use vector math to project the runner's velocity ahead in time and select the catch point and the time of the throw. After the pass is thrown, the receiver must project the ball's velocity to an actual catch point and further adjust his speed to effect a meeting at the catch point simultaneous with the ball.