does the slope of a distance vs. time graph show

the average velocity

or the

instaneous velocity

I'm asked the question and don't know which one. I believe that it would be the instaneous value because the slope is refering to one point on the graph... not sure though

4 answers

You are right. Slope is measured tangent to the position-time curve. If the velocity is changing, there is only one tangent point. Slope of the tangent line is the instantaneous velocity
what if the velocity is kept constant

or is suppose to at least
If the velocity is constant (over a finite time interval) the average velocity during that interval and the instaneous velocity are the same.
Thanks =]