The Speed of a Car (Instantaneous Rate of Change)

Adjust the acceleration slider to change the steepness of the curve. Type in the time you wish to know the speed of the vehicle for t_1. Type in a second time t_2 to draw a secant line. Use the red slider to bring in the average speed (secant line) as it approaches the instantaneous speed (tangent line).
How fast is this car going at any given second? How does the average speed on an interval relate to the previous question?