Math Problem Statement
4
What is the average speed of the object between 11:00 and 12:00?
Solution
The question asks to find the average speed of an object between 11:00 and 12:00 based on the graph provided.
To calculate the average speed, we use the formula:
Step 1: Identify the change in distance (Δd)
- At 11:00, the distance is approximately 30 km (based on the graph at the start of section B).
- At 12:00, the distance is approximately 50 km (based on the graph at the end of section C).
Step 2: Identify the change in time (Δt)
- The time interval is from 11:00 to 12:00, which is a 1-hour interval.
Step 3: Calculate the average speed
However, the provided options do not include 20 km/h. Since this discrepancy exists, it is likely due to a misreading of the intervals or the choices not matching up exactly with the graphical readings.
Would you like a more detailed explanation or clarification on how to interpret the graph? Let me know if you need more assistance.
Here are 5 related questions:
- How do you find the average speed if the graph is nonlinear?
- What is the difference between instantaneous speed and average speed?
- How can you determine the total distance traveled using a graph?
- What are the implications of zero slope segments in distance-time graphs?
- How can the unit of speed change depending on the units used for time and distance?
Tip: Always carefully check the axis and scale of the graph when interpreting values!
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Math Problem Analysis
Mathematical Concepts
Average Speed
Distance-Time Graph
Formulas
Average Speed = Change in Distance / Change in Time
Theorems
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Suitable Grade Level
Grade 7-9