Question

How does displacement change with time for a falling object? How might you describe the mathematical relationship between the distance and time of a falling object? Explain the answer using your data, graphs, and kinematic equations.

Answer 1

We will have the following:

First, we will have that the data presented is:

Now, from this we can see that the graphical relationship is:

Now, from this it seems the relationship of distance and time is proportional in nature from te information provided.

This is what it looks like, we can see that apparently for each unit of time a similar in nature change for the other value takes place.

We remeber that distance and time follow:

$d=v\ast t$

Here "d" is the distance, "v" the velocity and "t" the time. From this we can conclude that the ratio [The slope of the line that is formed by the data} is the velocity of the object.