The Following Table Gives Coordinates of a Particle Moving Through

question 67

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) \(\mathbf { v } = 21.12 \mathbf { i } + 21.12 \mathbf { j } + 13.6 \mathbf { k }\)

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Definitions:

Statistical Analysis

The process of collecting, reviewing, interpreting, and presenting data to discover underlying patterns and trends.

P < .01

Indicates that the probability of the observed data (or more extreme) given that the null hypothesis is true is less than 1%, suggesting strong evidence against the null hypothesis.

Null Hypothesis

A presumption in statistical inference that indicates no significant variance between groups or no significant relationship between variables.

Statistic

Numeric characteristic of a sample.