* Constant acceleration: While the acceleration due to gravity is constant, it means the velocity is constantly changing.
* Increasing velocity: As the object falls, it gains speed. This means it covers more distance in the same amount of time as it falls.
* Distance formula: The distance traveled (d) is related to the initial velocity (v₀), acceleration (a), and time (t) by the following equation:
d = v₀t + (1/2)at²
Since the initial velocity is zero (from rest), the formula simplifies to:
d = (1/2)at²
* Exponential relationship: Notice that distance is proportional to the square of time. This means that if you double the time, the distance traveled increases by a factor of four.
In summary:
The distance traveled by a body in free fall increases exponentially with time. Each successive time interval will result in a greater distance traveled than the previous interval.
