The Function S = F(t) Gives the Position of a Body

question 142

Multiple Choice

The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.
- $$s = 8 t ^ { 2 } + 4 t + 7,0 \leq t \leq 2$$
Find the body's displacement and average velocity for the given time interval.

• A) \(40 \mathrm {~m} , 40 \mathrm {~m} / \mathrm { sec }\)
• B) \(40 \mathrm {~m} , 20 \mathrm {~m} / \mathrm { sec }\)
• C) \(54 \mathrm {~m} , 27 \mathrm {~m} / \mathrm { sec }\)
• D) \(24 \mathrm {~m} , 36 \mathrm {~m} / \mathrm { sec }\)

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Definitions:

Arousal

A physiological and psychological state of being awake or reactive to stimuli, often involving the autonomic nervous system.

Hindbrain

The posterior part of the brain comprising structures such as the medulla, pons, and cerebellum, involved in regulating basic physiological processes and movement.

Cerebellum

A part of the brain at the back of the skull in vertebrates, responsible for coordinating and regulating voluntary muscle movements, balance, and posture.

Coordination

The organization of different elements or activities to enable them to work together effectively.