jaylonsmith128 jaylonsmith128
  • 09-10-2020
  • Physics
contestada

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?

Respuesta :

elcharly64
elcharly64 elcharly64
  • 09-10-2020

Answer:

The penny will hit the ground at 6.39 seconds

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:

[tex]\displaystyle y=\frac{gt^2}{2}[/tex]

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

Solving for t:

[tex]\displaystyle t=\sqrt{\frac{2y}{g}}[/tex]

Using the value y=200:

[tex]\displaystyle t=\sqrt{\frac{2*200}{9.8}}[/tex]

t=6.39 sec

The penny will hit the ground at 6.39 seconds

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