MVT (Motor vehicle theorem) (really: mean value theorem [later]): Over any interval of time, there must be a time when the car's instantaneous speed (speedometer reading) equals its average speed over the interval. 2. The graph shows the distance traveled by a car over a 10 sec. time interval. At approximately what time(s) was the car's speed the same as its average speed over the interval? Show on the graph how you obtained your answer. Hint: draw a secant line (or chord) whose slope is the average speed over the interval, and a tangent line to the graph which is parallel to it. $10 S 0 2 4 6 8 10