Analyzing Data

Linear Distance vs. Time

As you know, linear d vs. t data indicates an object with a constant velocity (no acceleration).  In that case, the distance equation
d = 1/2at2 + vit + do
reduces to simply
d = vit + do

which is parallel to the linear equation

y = ax + b

Therefore, with the distance on the y-axis and the time on the x-axis, the linear regression yields the values for vi and do.

The slope of the d vs. t line (the change in distance over change in time) is the average velocity.  But this object is not accelerating, so the average velocity is the same as any instantaneous velocity.  Therefore, the slope can be taken to represent the initial velocity.

The intercept (the distance time zero) indicates the initial location or do.
 
 

Return to Main Analysis Page
 Return to Main Data Analysis Page