Physics for spinning ball

Golf is an interesting game. Among ball sports, a golf ball flies the fastest, spinning at high speed, with a long flying distance. Due to these characteristics, its trajectory can change diversely. According to the spin of the ball and traits of the ground, the direction and distance that a ball is bounded can largely change. Its roll and direction are changed by the friction and slope of the ground. There are many virtual games related with golf, but most of them are lacking in an exact expression of the whole ball trajectory reflecting the spinning effect. This paper suggests a method that simulates the moment a spinning ball is in air to the moment it stops after bouncing and rolling.