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Step 1:I'll solve this unit conversion problem following the specified LaTeX and formatting guidelines:
Step 2:: Identify the Given Value
We start with $$25 \frac{\mathrm{m}}{\mathrm{s}}$$ and need to convert this to $$\frac{\mathrm{miles}}{\mathrm{hr}}
Step 3:: Convert Meters to Miles
1 \mathrm{~mile} = 1609.344 \mathrm{~meters}
First, convert meters to miles:
Step 4:: Convert Seconds to Hours
1 \mathrm{~hour} = 3600 \mathrm{~seconds}
Convert seconds to hours:
Step 5:: Perform the Conversion Calculation
25 \frac{\mathrm{m}}{\mathrm{s}} \times \frac{3600 \mathrm{~s}}{1 \mathrm{~hr}} \times \frac{1 \mathrm{~mile}}{1609.344 \mathrm{~m}} = 56.33 \frac{\mathrm{miles}}{\mathrm{hr}}
Final Answer
25 \frac{\mathrm{m}}{\mathrm{s}} = 56.33 \frac{\mathrm{miles}}{\mathrm{hr}}
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