The Position of an Air-Track Cart That Is Oscillating on a Spring

question 58

Multiple Choice

The position of an air-track cart that is oscillating on a spring is given by the equation x = (12.4 cm) cos[(6.35 s^-1) t].At what value of t after t = 0.00 s is the cart first located at x = 8.47 cm?

• A)4.34 s
• B)0.108 s
• C)0.129 s
• D)7.39 s
• E)7.75 s

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Definitions:

Paradoxical Intervention

A therapeutic technique in which a therapist prescribes or suggests the continuation of the behavior symptomatic of the client's issue, often leading to change through resistance to the suggestion.

Social-learning Theory

A theory which posits that people learn new behaviors through observing and imitating others, alongside direct reinforcement.

Cognitive Dissonance Theory

A theory that explains the feelings of discomfort that result from holding two conflicting beliefs.

Freud's Theory

A set of psychoanalytic theories developed by Sigmund Freud that emphasize unconscious processes, sexual and aggressive instincts, and early childhood experiences.