| 0.0 s | 0.5 s | 1.0 s | 1.5 s | 2.0 s |
| 0.0 m | 2.45 m = 9.8 * 0.52 | 9.8 m = 9.8 * 12 | 22.5 m = 9.8 * 1.52 | 39.2 m = 9.8 * 22 |
A body under constant acceleration increases its speed to infinity.
Galilei found by experiment that (neglecting friction) under constant acceleration the distance d covered in the time t is proportional to the square of the time. If the body is in free fall it is accelerated uniformly through gravity, and the constant of proportionality is 9.8 m s-2. Galilei did not understand the concept of gravity, but he analyzed its movement correctly:
| 0.0 s | 0.5 s | 1.0 s | 1.5 s | 2.0 s |
| 0.0 m | 2.45 m = 9.8 * 0.52 | 9.8 m = 9.8 * 12 | 22.5 m = 9.8 * 1.52 | 39.2 m = 9.8 * 22 |
If the body also received an initial velocity in the horizontal direction it will continue in that direction at constant speed and fall at increasing speed. Its trajectory will therefore be a parabola, a result also stated by Galilei.