Determine the Equation of the Graph $\frac { 5 } { \pi }$

question 129

Multiple Choice

Determine the equation of the graph.
-A weight attached to a spring is pulled down 8 inches below the equilibrium position. Assuming that the frequency of the system is $\frac { 5 } { \pi }$ cycles per second, determine a trigonometric model that gives the position of the weight at time $t$ seconds.

• A) \(s ( t ) = 8 \cos 10 t\)
• B) \(s ( t ) = - 8 \cos 5 t\)
• C) \(s ( t ) = 8 \cos 5 t\)
• D) \(s ( t ) = - 8 \cos 10 t\)

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Definitions:

Stimulus Generalisation

The process by which a conditioned response is triggered by stimuli that are similar but not identical to the original conditioned stimulus.

Fear Response

The instinctual reaction to perceived danger or threat, involving physiological changes like increased heart rate, aimed at preparing the body for fight or flight.

Spontaneous Recovery

The reappearance of a previously extinguished conditioned response after a period of no exposure to the conditioned stimulus.

Extinction

Extinction refers to the process in behavioral psychology where a conditioned response decreases in frequency and eventually disappears when the reinforcement stops.