Determine the Equation of the Graph $\mathrm { s } ( \mathrm { t } ) = - 5 \cos 8 \pi t$

question 141

Multiple Choice

Determine the equation of the graph.
-The position of a weight attached to a spring is $\mathrm { s } ( \mathrm { t } ) = - 5 \cos 8 \pi t$ inches after $\mathrm { t }$ seconds. What is the maximum height that the weight reaches above the equilibrium position and when does it first reach the maximum height? Round values to two decimal places, if necessary.

• A) The maximum height of 5 inches is first reached after \(0.13\) seconds.
• B) The maximum height of 10 inches is first reached after 2 seconds.
• C) The maximum height of 10 inches is first reached after 4 seconds.
• D) The maximum height of 5 inches is first reached after 4 seconds.

---

Definitions:

Commitment

The state of being emotionally or intellectually devoted to a cause, activity, or relationship.

Perceived Similarity

The extent to which individuals believe they share common attributes, values, or experiences with others, influencing social attraction and connection.

Romantic Love

A deep emotional and affectionate attachment to a partner, characterized by passion, intimacy, and commitment.

Intimacy

Intimacy involves close familiarity or friendship, often including deep emotional connections, trust, and bonding between individuals.