The Function $y = - 2 \cos \left( \frac { t } { 3 } \right)$

question 96

Essay

The function $y = - 2 \cos \left( \frac { t } { 3 } \right)$ models the displacement of an object moving in simple harmonic motion, where y is measured in inches and t in seconds. Find the amplitude, period, and frequency of motion and sketch a graph of the function over one complete period.

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Definitions:

Offspring

The biological children or progeny of an organism, resulting from reproduction.

Genetic Fitness

The reproductive success of an individual with a particular genotype, measured by the individual's ability to pass on their genes to the next generation.

Evolution

The mechanism by which distinct species of life are considered to have emerged and branched out from earlier versions throughout Earth's history.

Proximate Causes

Direct, immediate reasons behind an occurrence or behavior, distinguishing from deeper, underlying reasons.