The Following Table Gives Coordinates of a Particle Moving Through

Multiple Choice

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 $[ 0.5,1.5 ]$ . Select the correct answer.

A) $\mathbf { v } = 25.1 \mathbf { i } + 19.8 \mathbf { j } + 19.8 \mathbf { k }$
B) $\mathbf { v } = 25.1 \mathbf { i } + 12.1 \mathbf { j } + 19.8 \mathbf { k }$
C) $\mathbf { v } = 12.1 \mathbf { i } + 12.1 \mathbf { j } + 25.1 \mathbf { k }$
D) $\mathbf { v } = 19.8 \mathbf { i } + 12.1 \mathbf { j } + 25.1 \mathbf { k }$
E) $v = 25.1 \mathbf { i } + 19.8 \mathbf { j } + 25.1 \mathbf { k }$