Question

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?

Answer 1

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?

Step-by-step explanation

We know,

Acceleration is the ratio of the change in velocities to the time.

Thus,

Acceleration from 0 to 1s

`a_(01)=(9.8-0)/(1-0)=9.8\text{ m/s}^2`

Acceleration from 0 to 3 s

`a_(03)=(29.4-0)/(3-0)=9.8\text{ m/s}^2`

Acceleration from 2s to 4 s

`a_(24)=(39.2-19.6)/(4-2)=(19.6)/(2)=9.8\text{ m/s}^2`

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.