The Displacement from Equilibrium of an Object in Harmonic Motion $y = \frac { 1 } { 6 } \cos 12 t - \frac { 1 } { 2 } \sin 8 t$

question 93

Multiple Choice

The displacement from equilibrium of an object in harmonic motion on the end of a spring is $y = \frac { 1 } { 6 } \cos 12 t - \frac { 1 } { 2 } \sin 8 t$ where $y$ is measured in feet and $t$ is the time in seconds. Determine the velocity of the object when $t = \pi / 8$ . Round your answer to two decimal places.

• A) \(8.00 \mathrm { ft } / \mathrm { sec }\)
• B) \(4.68 \mathrm { ft } / \mathrm { sec }\)
• C) \(6.00 \mathrm { ft } / \mathrm { sec }\)
• D) \(1.00 \mathrm { ft } / \mathrm { sec }\)
• E) \(5.00 \mathrm { ft } / \mathrm { sec }\)

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Definitions:

Transference

A phenomenon in psychotherapy where patients project feelings or attitudes from past relationships onto the therapist.

Personal Therapy

A form of psychotherapy focusing on the individual's personal issues and goals, often tailored to meet the unique needs of the client.

Psychoanalytic Therapists

Professionals who practice psychoanalysis, a therapeutic approach developed by Freud, focusing on unconscious processes and resolving internal conflicts.

Psychosexual Stage

Stages in Freudian theory during which, as children grow, they experience pleasure from specific body areas and its frustration might lead to psychological consequences.