Given :
The height of the observation deck of the Empire State Building is 380 m.
A penny is dropped from this height.
To Find :
How fast would it be going when it struck the ground.
Solution :
Initial speed, u = 0 m/s.
We know, speed of object free falling is given by :
[tex]v^2 - u^2 = 2gh\\\\v = \sqrt{2gh}[/tex]
Here, g = 9.8 m/s² = acceleration due to gravity.
Putting all values in above equation, we get :
[tex]v = \sqrt{2\times 9.8\times 380}\ m/s\\\\v = 86.30\ m/s[/tex]
Hence, this is the required solution.
