Math Problem Statement
draw velocity versus time T(s):.045,.079,.107,.131,.153,.173 V(m/s):1.11,1.49,1.79,2.07,2.27,2.48 record the slope
Solution
The average slope of the velocity versus time graph is approximately . This slope represents the average acceleration over the given time intervals.
Do you have any questions or need further details? Here are some related questions for further exploration:
- How would the graph change if the acceleration were not constant?
- What does the slope tell us about the motion of the object?
- How can we use this graph to find instantaneous acceleration at specific points?
- What would the graph look like for a decelerating object?
- How can we calculate the displacement from this velocity-time graph?
Tip: The slope of a velocity-time graph is a direct measure of acceleration. A constant slope indicates uniform acceleration.
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Math Problem Analysis
Mathematical Concepts
Calculus
Velocity-Time Graphs
Average Slope
Formulas
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Theorems
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Suitable Grade Level
High School
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