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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