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 $\mathbf { r } ( t ) = 3 \sin t \mathbf { i } + 3 \cos t \mathbf { j } + 5 t \mathbf { k }$

A) $a _ { \mathbf { T } } = 0$ $a _ { \mathrm { N } } = 3$
B) $a _ { \mathbf { T } } = 5$ $a _ { \mathrm { N } } = 3$
C) $a _ { \mathbf { T } } = 0$ $a _ { \mathrm { N } } = 3 \sqrt { 26 }$
D) $a _ { \mathbf { T } } = 5$ $a _ { \mathrm { N } } = 3 \sqrt { 26 }$

Correct Answer:

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