Theresa ran on a treadmill for thirty minutes, and her time...

Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph above. According to the graph, which of the following statements is NOT true concerning Theresa's run? \begin{equation} \begin{array}{l}{\text { A) Theresa ran at a constant speed for five minutes. }} \\ {\text { B) Theresa's speed was increasing for a longer }} \\ {\text { period of time than it was decreasing. }}\end{array} \end{equation} \begin{equation} \begin{array}{l}{\text { C) Theresa's speed decreased at a constant rate }} \\ {\text { during the last five minutes. }} \\ {\text { D) Theresa's speed reached its maximum during the }} \\ {\text { last ten minutes. }}\end{array} \end{equation}

Theresa ran on a treadmill for thirty minutes, and
her time and speed are shown on the graph above.
According to the graph, which of the following
statements is NOT true concerning Theresa's run?
\begin{equation}
\begin{array}{l}{\text { A) Theresa ran at a constant speed for five minutes. }} \\ {\text { B) Theresa's speed was increasing for a longer }} \\ {\text { period of time than it was decreasing. }}\end{array}
\end{equation}
\begin{equation}
\begin{array}{l}{\text { C) Theresa's speed decreased at a constant rate }} \\ {\text { during the last five minutes. }} \\ {\text { D) Theresa's speed reached its maximum during the }} \\ {\text { last ten minutes. }}\end{array}
\end{equation}

Key Concepts

Acceleration and Deceleration

These concepts describe how speed changes over time. Acceleration involves an increase in speed and is represented by a positive slope on the graph, while deceleration (or negative acceleration) involves a decrease in speed, shown by a negative slope. Understanding these changes is crucial for analyzing dynamic motion.

Constant Speed

The idea of constant speed is illustrated by a horizontal line on a speed versus time graph, where the speed remains unchanged over a period of time. Recognizing these sections is important for determining intervals where the motion does not involve acceleration or deceleration.

Maximum Speed Identification

This key concept involves recognizing the highest value reached on a graph, which, in the context of a speed versus time graph, indicates the peak performance. It requires determining the specific period during which the peak value occurs and understanding its significance in the overall motion analysis.

Graph Interpretation

This concept involves reading and analyzing graphs that represent relationships between two quantities, such as time and speed. It includes understanding how information is conveyed visually, identifying different segments in the graph, and extracting relevant data points to interpret overall trends.

Slope and Rate of Change

This concept refers to the measurement of how one variable changes relative to another. On a graph of speed versus time, the slope represents acceleration or deceleration. A positive slope indicates increasing speed, a negative slope means decreasing speed, and a zero slope indicates constant speed.

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