Does he nail the dive, or does he bellyflop?

On Tue, 1 May 2001, J. van Baardwijk wrote:

> While watching "Tomorrow Never Dies", an interesting (if somewhat morbid) 
> math puzzle arose. See if you can solve it.
> 
> The Case
> --------
> James Bond is in an airplane over the Atlantic Ocean; the plane is flying 
> at an altitude of 8,000 meters above sea level. James jumps out to land on 
> a small island, but unfortunately his parachute fails (d'oh!). For 007, 
> this means 8,000 meters of free fall before he plunges into the ocean.
> 
> The Questions
> -------------
> 1. What is James' speed (in meters per second) when he hits the water? You 
> may assume that his initial speed (at the moment he leaves the airplane) is 
> 0.00 meters per second.
> 
> 2. Once James is under water, the water will slow him down. At how many 
> meters below the surface will his speed reach 0.00 m/s?
> 
> With both questions, you may assume 007 goes down in a straight line (so 
> you can ignore factors like wind and the rotation of the earth).
> 
> 
> GOOD LUCK!
> 
> 
> Jeroen
> 
> _________________________________________________________________________
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> 
> 

Marvin Long
Austin, Texas


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