1. How does displacement change with time for a falling object? How might you describe the mathematical relationship between the distance and time of a falling object? Explain the answer using your data, graphs, and kinematic equations.

Answer 1

the object experiences constant acceleration due to gravity. That means that its speed steadily increases. That means that each second, it falls farther than it did in the previous second.

distance is proportional to the square of the time falling.

in fact, s = 1/2 at^2

where a is the magnitude of the acceleration. On earth, that's 9.8 m/s^2, meaning that each second the speed increases by 9.8 m/s.