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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.

1 Answer

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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)
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