A Particle Moves with Position Function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 5 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$

question 14

Multiple Choice

A particle moves with position function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 5 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$ . Find the tangential component of the acceleration vector.

• A) \(a _ { T } = 5 t\)
• B) \(a _ { T } = 542 t\)
• C) \(a _ { T } = 42 t + 5\)
• D) \(a _ { T } = - 55 t\)
• E) \(a _ { T } = 42 t\)

---

Definitions:

Personal Style Scales

Psychological assessments that measure an individual's preferences, attitudes, and personality traits.

Basic Interest Scales

Tools used in psychological and career assessments to measure an individual's preferences and interests in various activities or subjects.

General Occupational Themes

General occupational themes are broad categories that describe work-related interests and preferences, often used in career counseling to help individuals identify suitable career paths.

Occupational Scales

Occupational scales are tools used to measure individuals' interests, skills, and aptitudes in relation to various professions or occupations, often used in career counseling and planning.