To find how much time has passed, we can
use the relationship between the decrease in gravitational potential energy and
the vertical distance fallen, and then find the time it takes for the object to
fall that distance.
Calculate the height fallen
The change in gravitational potential
energy () is related to the height fallen () by the equation:
where:
(decrease in
gravitational potential energy),
(mass),
(acceleration due
to gravity),
is the vertical distance fallen.
Rearranging the equation to solve for :