Question

Explain the relationship between speed and steepness of the slope of the line on the distance-versus-time graph

Answer 1

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 $rise/run$ is

  $\frac{\Delta distance }{\Delta time}=speed.$

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.