Question

A

A penny is dropped from the top of a 200 m building and is in free fall. How long will it take
the penny to hit the ground?

Answer 1

The penny will hit the ground at 6.39 seconds

Step-by-step explanation:

Free Fall

The penny is dropped from a height of y=200 m. The equation of the height on a free-fall motion is given by:

`\displaystyle y=(gt^2)/(2)`

Where
`g=9.8\ m/s^2`, and t is the time.

Solving for t:

`\displaystyle t=\sqrt{(2y)/(g)}`

Using the value y=200:

`\displaystyle t=\sqrt{(2*200)/(9.8)}`

t=6.39 sec

The penny will hit the ground at 6.39 seconds