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Motion Plots 

When physicists want detailed information about an object's movement, they gather data about it every second or millisecond. Sometimes, they gather the displacement (distance and direction from a starting point) at each moment in time, and other times, it is more useful to record the object's velocity.     

  The data collected is then transformed into a visual representation, with the independent variable, time, on the x-axis and either the object's distance and direction or its velocity on the vertical axis. This plot, a snapshot of the object's motion, is a powerful tool that brings abstract concepts to life. But the real magic lies in the slope of a motion plot, which holds even more information, waiting to be deciphered.      

     Here's how it works. You'll probably remember that the slope of any plot is ΔY/ΔX. Therefore, the slope of a displacement vs time plot at any given time would tell you about the object's velocity (Δd/Δt) during the interval you are concerned with. On the other hand, the slope of a velocity vs time plot during a time interval would reveal the object's acceleration. This is because acceleration is ΔV/Δt.