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Step 1I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2: Understanding Position-Time Graphs
A position-time graph shows the location of an object at different times. To find acceleration, we need to analyze the changes in velocity over time.
Final Answer
To find acceleration from a position-time graph: 1. Calculate velocity by finding the slope of the position-time graph 2. Plot the velocity-time graph 3. Find acceleration by calculating the slope of the velocity-time graph 4. Alternatively, mathematically differentiate the position function twice Key Insights: - Acceleration represents the rate of change of velocity - Can be found graphically or mathematically - Requires careful slope calculations at each stage
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