Straight Line on Distance vs Time^2 Graphs

[J.live]

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:

 

[PhanthomJay]

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.

 

[J.live]

Thanks a lot.