Answer:
Average speed is the magnitude of the slope of the distance time graph.
Explanation:
Average speed of an object is the rate at which its position is changing with time.
So, in a graph of distance versus time, the average speed between any time interval is equal to the change in the distance over the time interval.
Suppose, the time interval is from [tex]t_1\ to\ t_2[/tex]. The distance traveled by the object is [tex]d_1\ at\ t_1[/tex] and [tex]d_2\ at\ t_2[/tex]. The average speed is given as:
[tex]Speed=|\frac{d_2-d_1}{t_2-t_1}|[/tex]
This is nothing but the slope of the graph between two points on it.
Thus, average speed is the magnitude of the slope of the distance time graph.
