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

question 7

Multiple Choice

Find the scalar tangential and normal components of acceleration of a particle with position vector $\mathbf { r } ( t ) = 4 \sin t \mathbf { i } + 4 \cos t \mathbf { j } + 3 t \mathbf { k }$

• A) \(a _ { \mathbf { T } } = 0 , a _ { \mathrm { N } } = 4 \sqrt { 10 }\)
• B) \(a _ { \mathrm { T } } = 3 , a _ { \mathrm { N } } = 4 \sqrt { 10 }\)
• C) \(a _ { \mathrm { T } } = 3 , a _ { \mathrm { N } } = 4\)
• D) \(a _ { \mathbf { T } } = 0 , a _ { \mathrm { N } } = 4\)

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Definitions:

Ordinal

Relating to a categorical ranking in which the order of the values is significant, but the difference between them is not uniformly spaced.

Census

A complete enumeration or count of a population at a set point in time, gathering various demographic, social, and economic information.

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A method of gathering data from a sample of individuals to discover information about a larger population.