The Displacement of a Particle Is Given By $x = 0.03 \sin \left( 20 \pi t + \frac { \pi } { 2 } \right) \text { meters }$

question 162

Essay

The displacement of a particle is given by $x = 0.03 \sin \left( 20 \pi t + \frac { \pi } { 2 } \right) \text { meters }$ . Find all times t > 0 where
(a) The displacement attains its maximum value.(b) The velocity attains its maximum value.(c) The acceleration attains its maximum value.

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Definitions:

Conventional

Adhering to traditional standards or norms; typical or expected within a certain context.

Ethical Dilemma

A situation in which a difficult choice has to be made between two or more actions, where none of the options resolve the ethical principles or standards at stake fully.

Kohlberg's Moral Development Theory

A theory that proposes individuals progress through different stages of moral reasoning, from basic obedience to societal rules to higher-level ethical principles.

Conventional Level

A stage in moral development proposed by Lawrence Kohlberg, where an individual's sense of morality is tied to personal and societal relationships, and compliance with laws and norms.