Find the Scalar Tangential and Normal Components of Acceleration of a Particle

question 95

Multiple Choice

Find the scalar tangential and normal components of acceleration of a particle with position vector $\mathbf { r } ( t ) = e ^ { t } \{ \cos 6 t , \sin 6 t , 0 \}$

• A) \(a _ { \mathbf { T } } = \sqrt { 37 } e ^ { t } , a _ { \mathrm { N } } = 6 \sqrt { 37 } e ^ { t }\)
• B) \(a _ { \mathbf { T } } = 6 e ^ { t } , a _ { \mathbf { N } } = 37 e ^ { t }\)
• C) \(a _ { \mathbf { T } } = 6 \sqrt { 37 } e ^ { t } , a _ { \mathrm { N } } = \sqrt { 37 } e ^ { t }\)
• D) \(a _ { \mathbf { T } } = 37 e ^ { t } , a _ { \mathrm { N } } = 6 e ^ { t }\)

---

Definitions:

Sociological Research

The systematic study of social behavior, structures, and functions, using various methods of empirical investigation and critical analysis.

Peer Groups

Sets of individuals of approximately the same age, social status, and interests who interact with each other.

Self-Socialization

Involves choosing socialization influences from the wide variety of mass media offerings.

Jeffrey Jensen Arnett

A psychologist known for his theory on emerging adulthood, a stage of development between adolescence and full-fledged adulthood.