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The Following Table Gives Coordinates of a Particle Moving Through

Question 2

Multiple Choice

The following table gives coordinates of a particle moving through space along a smooth curve. txyz0.55.89.14.3112.614.916.81.525.621.229.4239.239.537.92.542.442.443\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][ 2.5,1.5 ] .


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

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