Write the Word or Phrase That Best Completes Each Statement $$P = 0.1 [ 3 \cos ( 8 t ) - \sin ( 8 t ) ]$$

question 50

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A weight is suspended on a system of spring and oscillates up and down according to $$P = 0.1 [ 3 \cos ( 8 t ) - \sin ( 8 t ) ]$$
where $P$ is the position in meters above or below the point of equilibrium $( P = 0 )$ and $t$ is time in seconds. Find th time when the weight is at equilibrium. Find all values of $t , 0 \leq t \leq 1$ , rounded to the nearest $0.01$ second.

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Definitions:

Olfaction

The sense of smell, which is the detection and identification of chemicals in the air by the olfactory system.

Vision

The ability to interpret the surrounding environment by processing information contained in visible light.

Thalamus

A brain structure that acts as a relay station, processing and transmitting sensory information to various areas of the brain.

Sensory Inputs

The information received by the body's sensory systems, like sight, sound, touch, taste, and smell.