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

question 97

Multiple Choice

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) \(\frac { 8 } { \sqrt { 5 } }\)

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