Dimensional Analysis (Jump to: Lecture | Video )

Figure 1.

The above formula computes the distance (s) a free-falling object will travel in (t) time, where (a) is the acceleration due to gravity.

Currently, this formula solves for s. Now, we will make it solve for a.

Figure 2.

By multiplying each side by 2 / t^2, we are able to solve for a.