The X Component of the Velocity of an Object Vibrating

question 5

Short Answer

The x component of the velocity of an object vibrating along the x-axis obeys the equation v_x(t) = (0.445 m/s) sin[(25.4 rad/s)t + 0.223].
(a) What is the amplitude of the motion of this object?
(b) What is the maximum acceleration of the vibrating object?

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Definitions:

Total Utility

The overall satisfaction or benefit a consumer receives from consuming a particular quantity of a good or service.

Indifference Curve

A graphical representation showing combinations of goods or services among which a consumer is indifferent, meaning they have no preference for one combination over another, holding utility constant.

Absolute Value

The non-negative value of a number without regard to its sign.

Slope

In mathematics and economics, the measure of the steepness or incline of a line, indicating the rate of change of one variable with respect to another.