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 value and conversion requirements
- Initial value: $$1100 \text{ feet per second}
- Need to convert to miles per hour
Step 3:: Convert feet to miles
- $$1 \text{ mile} = 5280 \text{ feet}
- Conversion factor: \frac{1 \text{ mile}}{5280 \text{ feet}}
Step 4:: Convert seconds to hours
- $$1 \text{ hour} = 3600 \text{ seconds}
- Conversion factor: \frac{3600 \text{ seconds}}{1 \text{ hour}}
Step 5:: Perform the conversion calculation
1100 \text{ feet/second} \times \frac{1 \text{ mile}}{5280 \text{ feet}} \times \frac{3600 \text{ seconds}}{1 \text{ hour}} = \frac{1100 \times 3600}{5280} \text{ miles/hour}
Step 6:: Calculate the final value
= \frac{3,960,000}{5280} = 750 \text{ miles/hour}
Final Answer
1100 \text{ feet per second} = 750 \text{ miles per hour}
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