Answer
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Step 1:I'll solve this unit conversion problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the Conversion Factors
To convert from meters per second squared ($$\mathrm{m/s}^{2}$$) to feet per second squared ($$\mathrm{ft/s}^{2}$$), we need to know the conversion between meters and feet.
Step 3:: Recall the Conversion Factor
1 \mathrm{~m} = 3.28084 \mathrm{~ft}
Step 4:: Set Up the Conversion
9.8 \mathrm{~m/s}^{2} \times \frac{3.28084 \mathrm{~ft}}{1 \mathrm{~m}}
We'll multiply the original value by the conversion factor:
Step 5:: Calculate the Conversion
9.8 \times 3.28084 = 32.15224 \mathrm{~ft/s}^{2}
Final Answer
Key Insights: - Always use the exact conversion factor - Multiply the original value by the conversion factor - Cancel out units to ensure correct conversion - Round to an appropriate number of significant figures
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