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QuestionMathematics

Convert 60 miles per hour (mph) to meters per second (m/s). Options: A. 26.82 m/s B. 16.09 m/s C. 96.56 m/s D. 4.47 m/s
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Answer

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Step 1:
I'll solve this conversion problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the given information

- Initial speed: $$60 \text{ miles per hour (mph)}
- Goal: Convert to meters per second (m/s)

Step 3:
: Set up conversion factors

- 1 mile = $$1609.344 \text{ meters}
- 1 hour = 3600 \text{ seconds}

Step 4:
: Convert miles to meters

60 \text{ miles} \times \frac{1609.344 \text{ meters}}{1 \text{ mile}} = 96,560.64 \text{ meters}

Step 5:
: Convert hours to seconds

\frac{96,560.64 \text{ meters}}{3600 \text{ seconds}} = 26.82 \text{ m/s}

Step 6:
: Verify the calculation

\frac{60 \times 1609.344}{3600} = 26.82 \text{ m/s}

Final Answer

The correct answer is A. 26.82 m/s.