12. If a particle moves in the \( xy \)-plane so that at time \( t > 0 \) its position vector is \( (t^3 - 1, \ln{\sqrt{t^2 + 1}}) \), then at time \( t = 1 \), its velocity vector is






Answer is: option3

\( (3, \frac{1}{2}) \)

Solution:

\( (3, \frac{1}{2}) \)

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