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 $[ 2.5,1.5 ]$ .

A) $\mathbf { v } = 13.6 \mathbf { i } + 21.12 \mathbf { j } + 16.8 \mathbf { k }$
B) $v = 13.6 \mathbf { i } + 16.8 \mathbf { j } + 16.8 \mathbf { k }$
C) $$\mathbf { v } = 13.6 \mathbf { i } + 16.8 \mathbf { j } + 13.6 \mathbf { k }$$
D) $\mathbf { v } = 16.8 \mathbf { i } + 21.12 \mathbf { j } + 13.6 \mathbf { k }$
E) $\mathbf { v } = 21.12 \mathbf { i } + 21.12 \mathbf { j } + 13.6 \mathbf { k }$