How long would it take for a penny to fall from the top of the Empire State Building? The building is 381 meters.

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alexwinter001 alexwinter001

01-11-2016
Physics

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How long would it take for a penny to fall from the top of the Empire State Building? The building is 381 meters.

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AL2006 AL2006 · Answer 1 · 2016-11-02T04:03:05+01:00

Without air resistance, the distance an object falls is

   D = (1/2) (gravity) (time)²

   381 m = (1/2) (9.8 m/s²) (time)²

   (time)² = (381 m) (4.9 m/s²)

   = (381/4.9) seconds²

   Time = √(381/4.9 sec²)

   =    8.8 seconds (rounded)