Question

King on Carrie’s favorite way up to 321 m high Empire State doing at the top of the skyscraper favorite shoe falls from her for neglect and every system. How long does it take for the shoe to reach the ground?

a) Approximately 6.37 seconds
b) Approximately 7.54 seconds
c) Approximately 8.42 seconds
d) Approximately 9.81 seconds

Answer 1

The shoe will take approximately 8.08 seconds to reach the ground when dropped from the top of the Empire State Building, hence the closest option is (c) Approximately 8.42 seconds.

Step-by-step explanation:

The student's question is about how long it takes for a shoe to fall from the top of the Empire State Building, which is 321 meters high, to the ground. To solve this, we can use the formula for free fall, which is derived from the equations of motion under constant acceleration due to gravity (g = 9.81 m/s2). The formula is t = sqrt(2h/g), where t is the time in seconds, h is the height in meters, and g is the acceleration due to gravity.

Plugging in the values, we get
t = sqrt(2 * 321m / 9.81 m/s2) ≈ sqrt(2 * 321 / 9.81) ≈ sqrt(65.34) ≈ 8.08 seconds.

Therefore, the closest answer from the options given is (c) Approximately 8.42 seconds, although the exact calculation gives us a slightly different answer.