Math Problem Statement
What's the answer for 3 D.
What's the answer for 3 D.
Solution
To answer 3d, we need to calculate the average speed for the entire journey.
Step-by-Step Solution:
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Formula for Average Speed:
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Total Distance: From part 3c, the total distance traveled is:
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Total Time: From the graph:
- Total time is from to .
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Average Speed: Substitute the values:
Final Answer:
The average speed for the journey is:
Let me know if you want further clarification or have any additional questions!
Expanding Questions:
- How is the concept of average speed different from instantaneous speed?
- Can you explain why the total distance includes multiple sections?
- Why is the distance during uniform motion a rectangle on a speed-time graph?
- How would the calculation change if there was a different acceleration?
- Can you calculate average velocity for this journey if there was a direction involved?
Tip:
Always remember, the area under a speed-time graph represents the total distance traveled!
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Math Problem Analysis
Mathematical Concepts
Average Speed
Distance-Time Relationship
Speed-Time Graphs
Formulas
Average Speed = Total Distance / Total Time
Area under Speed-Time Graph = Distance Traveled
Theorems
The area under the speed-time graph represents total distance.
Suitable Grade Level
Grades 9-10