Some examples of when average speed and velocity are not equal include:
* When an object moves in a straight line with changing speed, its average speed will be different from its velocity. For example, a car that starts from rest and accelerates to 60 mph will have an average speed of 30 mph, but its velocity will be 60 mph.
* When an object moves in a circular path, its average speed will be equal to the circumference of the circle divided by the time it takes to complete one revolution. However, its velocity will be constantly changing, as the object moves in a tangential direction.
* When an object moves in a three-dimensional space, its average speed will be equal to the distance it travels divided by the time it takes to travel that distance. However, its velocity will be a vector quantity that includes both the magnitude and direction of the object's movement.