Straight Line on Distance vs Time^2 Graphs

AI Thread Summary
The discussion centers on understanding why Distance vs. Time^2 graphs yield a straight line. It is clarified that a straight line indicates constant velocity, while a curve represents acceleration. The key point is that when plotting distance against time squared, the relationship reflects constant acceleration, resulting in a linear graph. This is due to the mathematical relationship between distance, time, and acceleration. The explanation emphasizes the importance of the graph's axes in interpreting motion dynamics.
J.live
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Homework Statement



The question asks me to explain why the graphs should be a straight line?
We had to make a Distance vs Time^2 graphs.

The Attempt at a Solution



On a position x time graph If the ball is falling only way it can be a straight line if the velocity is constant , right?

I don't have an electronic copy of the graphs on me but here is how the professor answered it.

Check out the attachment below:
 

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J.live said:

Homework Statement



The question asks me to explain why the graphs should be a straight line?
We had to make a Distance vs Time^2 graphs.




The Attempt at a Solution



On a position vs. time graph, if the ball is falling only way it can be a straight line if the velocity is constant , right?
That is correct, you get a curve (what shape?) when plotting position vs. time for an object accelerating with constant acceleration. But this problem asks you to plot distance on the y-axis vs. t^2 on the x axis.
 
Thanks a lot.
 

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