Given
A table interpreting the velocities of a falling object at given time
To find
What is the object's acceleration from 0 to 1s? From 0 to 3s? From 2s to 4s? Based on your calculations, what can you say about the acceleration of a falling object?
Explanation
We know,
Acceleration is the ratio of the change in velocities to the time.
Thus,
Acceleration from 0 to 1s
[tex]a_{01}=\frac{9.8-0}{1-0}=9.8\text{ m/s}^2[/tex]
Acceleration from 0 to 3 s
[tex]a_{03}=\frac{29.4-0}{3-0}=9.8\text{ m/s}^2[/tex]
Acceleration from 2s to 4 s
[tex]a_{24}=\frac{39.2-19.6}{4-2}=\frac{19.6}{2}=9.8\text{ m/s}^2[/tex]
From the above calculation it is seen that the acceleration is constant.
Conclusion
For a falling object the acceleration is always constant and is equal to the acceleration due to gravity.
