Let the Position Function of a Particle Be $\mathbf { r } ( t ) = t \mathbf { i } + t ^ { 2 } \mathbf { j }$

Let the position function of a particle be $\mathbf { r } ( t ) = t \mathbf { i } + t ^ { 2 } \mathbf { j }$ . Find the tangential component of the acceleration vector when t = 1.

A) $\frac { 1 } { \sqrt { 5 } }$

B) $\frac { 2 } { \sqrt { 5 } }$
C) $\frac { 3 } { \sqrt { 5 } }$
D) $\frac { 4 } { \sqrt { 5 } }$
E) $\sqrt { 5 }$
F) $\frac { 6 } { \sqrt { 5 } }$

G) $\frac { 7 } { \sqrt { 5 } }$

H) $\frac { 8 } { \sqrt { 5 } }$

Correct Answer:

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