The Velocity of an Object Is Given by the Expression

question 31

Multiple Choice

The velocity of an object is given by the expression v(t) = 3.00 m/s + (4.00 m/s³) t², where t is in seconds. Determine the position of the object as a function of time if it is located at x = 1.00 m at time
T = 0.000 s.

• A) (4.00 m/s)t + 1.00 m
• B) (3.00 m/s)t + (1.33 m/s3)t³
• C) (4.00 m/s)t
• D) 1.33 m
• E) 1.00 m + (3.00 m/s)t + (1.33 m/s³)t³

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Definitions:

Deductive Reasoning

A method of deduction where a final judgment comes from the consistency of numerous assumed-to-be-true premises.

Inductive Reasoning

A method of reasoning in which specific observations or data are analyzed to form a general conclusion or principle.

Formal Operational

The stage of cognitive development, as per Jean Piaget's theory, starting from about age 12 during which people begin to think logically about abstract concepts.

Cognitive Development

The study of how thinking, problem solving, and intelligence change and mature throughout life, especially during childhood.