To convert from miles per hour (mph) to meters per second (m/s), we need to know the conversion factors:
First, convert 40 miles to meters using the conversion factor: 40 miles×1609.34 metersmile=64373.6 meters 40 \, \text{miles} \times 1609.34 \, \frac{\text{meters}}{\text{mile}} = 64373.6 \, \text{meters} 40miles×1609.34milemeters=64373.6meters
Next, convert 1 hour to seconds: 1 hour×3600 secondshour=3600 seconds 1 \, \text{hour} \times 3600 \, \frac{\text{seconds}}{\text{hour}} = 3600 \, \text{seconds} 1hour×3600hourseconds=3600seconds
Now, divide the total meters by the total seconds to find the speed in meters per second: 64373.6 meters3600 seconds≈17.8816 m/s \frac{64373.6 \, \text{meters}}{3600 \, \text{seconds}} \approx 17.8816 \, \text{m/s} 3600seconds64373.6meters≈17.8816m/s
17.8816 m/s \boxed{17.8816 \, \text{m/s}} 17.8816m/s
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