The Following Table Gives Coordinates of a Particle Moving Through

question 45

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) \(v = 25.1 \mathbf { i } + 19.8 \mathbf { j } + 25.1 \mathbf { k }\)

Identify and understand the basic concepts of human development beginning from a single cell.

Recognize the various factors that can cause mutations and their effects on human genetics.

Describe the process and significance of cell division and the role of chromosomes in heredity.

Understand the genetic basis and characteristics of different types of twins.

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Definitions:

Adolescence

The transitional stage of physical and psychological development between childhood and adulthood.

Baby Boomers

The demographic cohort following World War II, typically referring to individuals born between 1946 and 1964.

Early Adulthood

A developmental stage typically ranging from the late teens through the twenties, during which individuals gain independence and explore various life paths.

Later Adulthood

A phase of life that follows middle age, where individuals often experience retirement and deal with aging-related issues.