How can you determine instantaneous velocity from a position-time graph?

[chiwen1]

How would you find the instantaneous velocity if only given a position-time graph?

 

[cepheid]

Welcome to PF chiwen1!

The definition of instantaneous velocity is the derivative of position with respect to time:

v = dx/dt

So, on a position-time graph, this corresponds to the slope of the curve at any point.

 

[WatermelonPig]

BTW, if that isn't obvious then you will have to make a secant line approx.