A penny is dropped from a window and takes 1.82s to reach the ground. From what height was it dropped.
h=gt^2/2
g=not given
g is gravity (9.8m/s^2)
To find the height from which the penny was dropped, we can use the equation of motion:
h = (1/2) * g * t^2
where:
h is the height (unknown)
g is the acceleration due to gravity (9.8 m/s^2 on the surface of the Earth)
t is the time it takes to reach the ground (1.82 seconds)
Substituting the given values, we have:
h = (1/2) * 9.8 * (1.82)^2
Calculating this expression, we get:
h ≈ 16.91 meters
Therefore, the penny was dropped from a height of approximately 16.91 meters.