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# If you fell out of a plane without a parachute, how long would it take to fall 5 miles or 8 kilometers?

Question #72883. Asked by battrivkev74. (Dec 03 06 1:54 AM)

Terry

d=1/2at^2

d, distance, a, acceleration due to gravity, t, time. Solve for t given a and d.

 Dec 03 06, 2:24 AM
battrivkev74

142 seconds?

 Dec 03 06, 2:36 AM
peasypod

Um Terry, this formula would have you whistling with a sonic boom pretty quick. You would need to include the opposing resistive force due to the air, thereby greatly increasing the fall time.

Since the resistive force is dependent on the air density (and if you have your arms out) it becomes a bit difficult. This is where physicists usually start saying "assuming the person is approximately spherical...". ;)

 Dec 03 06, 3:17 AM
SOTHC

You may have to take terminal velocity into consideration & give two answers as 5 miles = 8.04672 kilometres http://en.wikipedia.org/wiki/Terminal_velocity

 Dec 03 06, 4:31 AM
zbeckabee

In free fall, you fall at about 125 miles per hour (mph) if you have your arms and legs extended, and at that speed you will travel about 12,000 feet in one minute.

http://science.howstuffworks.com/question729.htm

 Dec 03 06, 4:33 AM
battrivkev74

So 12000ft per minute. Roughly 26500ft in a mile. Just over 2 minutes to go splat? Is that right?

 Dec 03 06, 5:21 AM
What-A-Mess

5280 feet per mile.

Acceleration curve has to be accounted for.

Check out SOTHC's posted site. Too much for mathematical abilities!

 Dec 03 06, 7:27 AM
zbeckabee

Yes, if you are just looking for a rough estimate it would be a bit over 2 minutes...

 Dec 03 06, 10:19 AM
LyokoRox

We need to know wind speed and other things to figure it out.

 Dec 04 06, 4:51 PM

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