Math Problem Statement
Solution
The graph shows the motion of two runners, labeled as Runner #1 and Runner #2, plotting their distance (in meters) over time (in seconds). To determine which runner has the greater speed, we need to compare their slopes.
- Speed is the slope of the distance-time graph (speed = distance/time).
- The steeper the slope, the greater the speed.
Analysis:
- Runner #1 has a steeper line than Runner #2, meaning Runner #1 covers more distance in the same amount of time.
- Therefore, Runner #1 has the greater speed.
The correct answer is Runner #1.
Would you like a detailed explanation of how speed relates to the slope in more depth?
Here are 5 related questions to consider:
- How can you calculate speed from a distance-time graph?
- What does a flat line in a distance-time graph represent?
- How would the graph look if one of the runners were to slow down over time?
- How can you calculate the speed difference between the two runners?
- What would the graph look like if both runners had the same speed?
Tip: When comparing speeds on a graph, the steeper the slope, the faster the object is moving!
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Math Problem Analysis
Mathematical Concepts
Graph Interpretation
Speed Calculation
Linear Relationships
Formulas
Speed = Distance / Time
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 6-8
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