The Following Table Gives Coordinates of a Particle Moving Through

The following table gives coordinates of a particle moving through space along a smooth curve. $\begin{array}{|c|c|c|c|}\hline \mathbf{t} & x & y & z \\\hline 0.5 & 5.8 & 9.1 & 4.3 \\\hline 1 & 12.6 & 14.9 & 16.8 \\\hline 1.5 & 25.6 & 21.2 & 29.4 \\\hline 2 & 39.2 & 39.5 & 37.9 \\\hline 2.5 & 42.4 & 42.4 & 43 \\\hline\end{array}$

Find the average velocity over the time interval $[ 1,2 ]$ .

A) $v = 21.1 \mathbf { i } + 24.6 \mathbf { j } + 26.6 \mathbf { k }$
B) $v = 21.1 \mathbf { i } + 26.6 \mathbf { j } + 21.1 \mathbf { k }$
C) $v = 24.6 \mathbf { i } + 24.6 \mathbf { j } + 21.1 \mathbf { k }$
D) $v = 26.6 \mathbf { i } + 24.6 \mathbf { j } + 21.1 \mathbf { k }$
E) $v = 21.1 \mathbf { i } + 26.6 \mathbf { j } + 26.6 \mathbf { k }$