Answer:
The distance the object falls is of 50 meters.
Explanation:
We are given the following formula:
![√(d) = t√(4.9)](https://img.qammunity.org/2022/formulas/mathematics/college/w0e9pv3u3eahazuhf6jqk1sm6af7ir0o4n.png)
In which d is the distance the object falls and t is the time it takes to fall.
A penny dropped from the top of the tallest building in town takes 10.2 seconds to reach the street.
This means that
![t = 10.2](https://img.qammunity.org/2022/formulas/mathematics/college/hpek97hka61mjpco8d3p3i7244l888olfp.png)
What is the height of the building?
![√(d) = t√(4.9)](https://img.qammunity.org/2022/formulas/mathematics/college/w0e9pv3u3eahazuhf6jqk1sm6af7ir0o4n.png)
![(√(d))^2 = (t√(4.9))^2](https://img.qammunity.org/2022/formulas/mathematics/college/zsejy09cko4kvma8mjcw9q93kz0au5c0g6.png)
![d = 4.9t^2 = 4.9(10.2) = 50](https://img.qammunity.org/2022/formulas/mathematics/college/46orq8mmobnsdp6qgqw8aukv9sqaq2cpmo.png)
The distance the object falls is of 50 meters.