How does distance vary with the square of time?

Answer 1

For a free-falling object, you can calculate the total distance traveled, given the amount of time. The distance of the fall is proportional to the square of the time elapsed.

In general, distance can be found by the relationship between acceleration and time squared.

If we let a be acceleration, which can be gravity if you want, and t be time, then we have:

The distance traveled = 1/2 * a * t2

The distance traveled = 1/2 * g* t2