Explanation:
A distance-versus-time graph gives the distance an object has traveled after a given time.
In a distance-versus-time graph the slope represents the the speed of the object because [tex]rise/run[/tex] is
[tex]\frac{\Delta distance }{\Delta time}=speed.[/tex]
And how steep the slope of the distance-versus-time graph is tells us how fast an object is moving; steeper the slope greater the speed. For example, a graph with slope 10 represents a greater speed than a graph with slope 2.
So the steepness of the slope of the distance-versus-time is the speed of the object, and greater the slope greater is the speed.
