In distance versus time squared graphs, what is an advantage of using it, and also how would you use the graph of a distance versus time squared graph to find an equation for the motion of the object?

Question

anonymous · Answer

If you are graphing distance against time-squared, what does the slope of the line represent?  What does the area under the graph represent?

anonymous · Answer

with my slope, I get around one half of the acceleration? The area I'm not sure finding it from the graph, it is a number i dont know about

anonymous · Answer

Right!  On a distance versus time-squared graph, the slope is half the acceleration, since distance (position) is 1/2at^2.

The nice thing about the distance v. time-squared graph is if your acceleration is constant, you get a straight line.  Compare that to distance versus time, which is parabolic in that case.