Question

 A penny is dropped off of the top of the Statue of Liberty, which is 93 meters tall. How long will it take for the penny to hit the ground?

Answer 1

About 4.4 seconds

Step-by-step explanation:

`h=1/2(gt^(2) )`

`t^(2) =(2h)/(g)`

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

`t=\sqrt{(2(93))/(9.8) } =√(18.98) =4.36`

Hope this helps

Answer 2

It would take approximately 4.35 seconds for a penny to hit the ground when dropped from the top of the Statue of Liberty, which is 93 meters tall, assuming no air resistance and using the free fall formula t = sqrt(2d/g).

Step-by-step explanation:

To calculate the time it takes for a penny to hit the ground when dropped from the top of the Statue of Liberty, we use the equations of motion for free-falling objects. The Statue of Liberty is 93 meters tall. Neglecting air resistance, the time 't' it takes for the penny to reach the ground can be found using the formula for free fall: d = 1/2 * g * t^2, where 'd' is the distance the object falls, 'g' is acceleration due to gravity (approximated as 9.81 m/s^2 on Earth), and 't' is time in seconds.

Rearranging the equation for time we get: t = sqrt(2d/g). Substituting the values, we get t = sqrt(2*93/9.81), which equals sqrt(18.946), so t ≈ 4.35 seconds. Thus, it would take approximately 4.35 seconds for the penny to hit the ground.