A particle moves with position function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 6 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$
Find the tangential component of the acceleration vector. Select the correct answer.
A) $a _ { T } = 6 t$
B) $a _ { T } = 42 t$
C) $a _ { T } = 42 t + 6$
D) $a _ { T } = 642 t$
E) $a _ { T } = - 66 t$

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The Answer of A particle moves with position function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 6 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$
Find the tangential component of the acceleration vector. Select the correct answer.
A) $a _ { T } = 6 t$
B) $a _ { T } = 42 t$
C) $a _ { T } = 42 t + 6$
D) $a _ { T } = 642 t$
E) $a _ { T } = - 66 t$

A Particle Moves with Position Function r(t)=(21t−7t3−6)i+21t2j\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 6 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }r(t)=(21t−7t3−6)i+21t2j

A Particle Moves with Position Function $\mathbf { r } ( t ) = \left( 21 t - 7 t ^ { 3 } - 6 \right) \mathbf { i } + 21 t ^ { 2 } \mathbf { j }$