A lifeguard can run on sand at speed vi and swim at speed V2 and will take path AOB as shown below to minimize the time to rescue a swimmer at point B. Let COD = L, find the distance x where the water is entered and sin 81 sin 8, use that value to prove that This result is called Snell's Law of optics and is an example of a very deep principle in physics known as Fermat's principle of least time. Much of your future theoretical upper division and graduate work will involve applications of this idea. %3D vz A Sand speed = v 0o L-x D 02 Ocean speed = v2 Lz B.
A lifeguard can run on sand at speed vi and swim at speed V2 and will take path AOB as shown below to minimize the time to rescue a swimmer at point B. Let COD = L, find the distance x where the water is entered and sin 81 sin 8, use that value to prove that This result is called Snell's Law of optics and is an example of a very deep principle in physics known as Fermat's principle of least time. Much of your future theoretical upper division and graduate work will involve applications of this idea. %3D vz A Sand speed = v 0o L-x D 02 Ocean speed = v2 Lz B.
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Transcribed Image Text:20. A lifeguard can run on sand at speed vi and
swim at speed v2 and will take path AOB as
shown below to minimize the time to rescue
a swimmer at point B. Let COD = L, find
%3D
the distance x where the water is entered and
V1 sin 8,
sin 82
This result is called Snell's Law of optics
and is an example of a very deep principle in
physics known as Fermat's principle of least
time. Much of your future theoretical upper
division and graduate work will involve
use that value to prove
that
%3D
Za
applications of this idea.
A Sand speed = v
0o L-x
82
Ocean speed = v2
Lz
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