A Particle Moves with Position Function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 6 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$

question 8

Multiple Choice

A particle moves with position function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 6 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$
Find the tangential component of the acceleration vector. Select the correct answer.

• A) \(a _ { T } = 6 t\)
• B) \(a _ { T } = 42 t\)
• C) \(a _ { T } = 42 t + 6\)
• D) \(a _ { T } = 642 t\)
• E) \(a _ { T } = - 66 t\)

Understand the conceptual foundations and usefulness of critical thinking in everyday contexts and professional decisions.

Understand and describe the positive critical thinking habits of mind.

Apply core critical thinking skills to real-world issues.

Recognize how critical thinking skills support and enhance each other.

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Definitions:

Substantive Conflict

Involves fundamental disagreement over ends or goals to be pursued and the means for their accomplishment.

Clash of Personalities

Clash of Personalities involves a conflict or incompatibility between the character traits, beliefs, or attitudes of two or more individuals.

Emotional Conflicts

disputes that are primarily driven by emotions and feelings rather than logical or factual disagreements.

Teamwork

Occurs when team members live up to their collective accountability for goal accomplishment.