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A particle is moving such that its position coordinates \( (x, y) \) are \( (2 m, 3 m) \) at \( t=0 \mathrm{~s},(6 \mathrm{~m}, 7 \mathrm{~m}) \) at time \( 2 \mathrm{~s} \) and \( (13 \mathrm{~m}, 14 \mathrm{~m}) \) at time \( t=5 \mathrm{~s} \). Average velocity vector \( \left(\mathbf{v}_{\text {av }}\right) \) from \( t=0 \mathrm{~s} \) to \( t=5 \mathrm{~s} \) is
(a) \( \frac{1}{5}(13 \hat{\mathbf{i}}+14 \hat{\mathbf{j}}) \)
(b) \( \frac{11}{5}(\hat{\mathbf{i}}+\hat{\mathbf{j}}) \)
(c) \( 2(\hat{\mathbf{i}}+\hat{\mathbf{j}}) \)
(d) \( \frac{7}{3}(\hat{\mathbf{i}}+\hat{\mathbf{j}}) \)
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