Mathematics of Traveling Waves: Find the Speed of an Ocean

question 16

Multiple Choice

Mathematics of traveling waves: Find the speed of an ocean wave whose vertical displacement y as a function of time t is given by y(x,t) = 3.7 cos(2.2x - 5.6t) , where all quantities are in SI units.

• A) 2.5 m/s
• B) 1.9 m/s
• C) 3.5 m/s
• D) 4.5 m/s

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Definitions:

Psychological Laboratory

A controlled environment where experiments related to psychology are conducted to study behavior and mental processes.

Wilhelm Wundt

A German physiologist and psychologist who is considered the father of experimental psychology; he founded the first formal laboratory for psychological research.

Modern Psychology

The scientific study of the mind and behavior, incorporating contemporary theories and methodologies.

Wilhelm Wundt

Often recognized as the father of experimental psychology, he established the first psychology laboratory at the University of Leipzig in 1879.