On influence of the resistance crisis on the football flight dynamics

It is described the mathematical model of football movement when employing standard positions (kick from the center of the football ground and corner kick). An important feature of the model is an account of dependence of aerodynamic coefficients of drag and lift forces on the ball velocity. It is found the optimal conditions which provide a football hit a rival goal for the minimal time. Also the problem of the impact theory is considered which allow to describe the football boot kick on the ball. It is proposed the method of determination of aerodynamic coefficients in three-dimensional movement of a ball.