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

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) $a _ { \mathrm { T } } = 0 , a _ { \mathrm { N } } = 4 \sqrt { 10 }$
B) $a _ { \mathrm { T } } = 3 , a _ { \mathrm { N } } = 4 \sqrt { 10 }$
C) $a _ { \mathrm { T } } = 3 , a _ { \mathrm { N } } = 4$
D) $a _ { T } = 0 , a _ { N } = 4$

Correct Answer:

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