Hurdle Race Three runners compete in a 100 -meter hurdle race. The graph depicts th

step 1 Here for question one, we want to figure out who won the race. To do this we need to look at the

Hurdle Race Three runners compete in a 100 -meter...

$$ \begin{array}{l}{\text { Hurdle Race Three runners compete in a } 100 \text { -meter hurdle }} \\ {\text { race. The graph depicts the distance run as a function of time }} \\ {\text { for each runner. Describe in words what the graph tells you }} \\ {\text { about this race. Who won the race? Did each runner finish }} \\ {\text { the race? What do you think happened to Runner B? }}\end{array} $$

$$
\begin{array}{l}{\text { Hurdle Race Three runners compete in a } 100 \text { -meter hurdle }} \\ {\text { race. The graph depicts the distance run as a function of time }} \\ {\text { for each runner. Describe in words what the graph tells you }} \\ {\text { about this race. Who won the race? Did each runner finish }} \\ {\text { the race? What do you think happened to Runner B? }}\end{array}
$$

Key Concepts

Distance-Time Graphs

Distance-time graphs are used to represent the motion of objects where the horizontal axis denotes time and the vertical axis represents the distance traveled. By studying these graphs, one can determine how an object's position changes over time, which is crucial in analyzing motion in races or other scenarios involving movement.

Slope Interpretation

The slope of a line on a distance-time graph represents the speed of the moving object. A steeper slope indicates higher speed, while a shallower slope indicates slower movement. This concept is key for comparing the performances of different competitors in a race or understanding changes in their speeds.

Race Outcome Analysis

By comparing the points at which each competitor's line reaches a particular distance (like the finish line), one can determine the winner of the race. Analyzing the relative positions and slopes of the lines allows for a clear comparison of the participants’ speeds, consistency, and completion of the race.

Interpreting Graph Discontinuities

Discontinuities or abrupt changes in a graph, such as a sudden stop or drop in the distance traveled, can indicate irregular events like accidents, falls, or stops during a race. Recognizing these variations is important for inferring what may have occurred to a competitor when their performance deviates from the expected pattern.

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