QQuestionPhysics
QuestionPhysics
Superman is able to travel from Metropolis to Gotham City in 6.8 minutes, flying at a leisurely pace. If he flew at a speed of 344 meters per second, how far apart are the cities in miles?
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Convert the time to seconds
t = 6.8 \text{ minutes} \times 60 \frac{\text{seconds}}{\text{minute}} = 408 \text{ seconds}
Step 3:: Calculate the distance in meters using the distance formula
d = 344 \text{ m/s} \times 408 \text{ s} = 140,352 \text{ meters}
Where:
Step 4:: Convert meters to miles
\text{Distance in miles} = \frac{140,352 \text{ meters}}{1,609.344 \frac{\text{meters}}{\text{mile}}} = 87.2 \text{ miles}
Conversion factor: 1 mile = 1,609.344 meters
Final Answer
Metropolis and Gotham City are approximately 87.2 miles apart.
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