Math Problem Statement
Solution
To determine which graph best represents Aiyanna’s speed over time based on the description, let’s analyze the key points given in the instructions:
- Aiyanna starts jogging at a constant speed.
- She then slows down to a complete stop.
- She rests for approximately 10 seconds.
- She then begins to run at a steady, fast speed for the next 20 seconds.
- After that, she slows down to a stop for the last 10 seconds.
With these points, we’re looking for a graph that shows:
- An initial constant speed.
- A deceleration to zero.
- A flat section at zero speed for a rest period.
- A sudden increase to a steady, higher speed.
- A final deceleration to zero speed.
Examining the graphs:
- The correct graph would start with a steady positive speed, then dip to zero, stay at zero for a short period, rise to a higher constant speed, and finally return to zero.
Let me know if you’d like me to identify the specific graph or provide further details.
Would you like further breakdown or have any questions? Here are 5 related questions to expand your understanding:
- What does a constant speed look like on a speed-time graph?
- How can you identify a rest period on a speed-time graph?
- What does acceleration and deceleration represent in terms of graph slopes?
- How does a speed-time graph differ from a distance-time graph?
- Why is it important to note the durations of each segment in a speed-time graph?
Tip: Always check the slopes and flat sections on speed-time graphs to understand changes in motion over time.
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Math Problem Analysis
Mathematical Concepts
Kinematics
Speed-Time Graph Analysis
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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