What does the slope of a distance-versus-time graph represent?

1 Answer
Jan 1, 2017

The slope of a position-versus-time graph represents the velocity.


The slope of the tangent line represents the rate of change of a function. Velocity is the rate of change of position with respect to time. Equivalently, velocity is the derivative of the position function.


The average velocity has limited usefulness for an object whose velocity is not constant.

We can define an object's instantaneous velocity at a single instant of time, #t#, where the instantaneous velocity at time #t# is the slope of the line that is tangent to the position-versus-time graph at time #t#.