Questions: Convert 40 miles per hour (mph) to meters per second (m / s).

Solution Steps

To convert from miles per hour (mph) to meters per second (m/s), we need to know the conversion factors:

• 1 mile = 1609.34 meters
• 1 hour = 3600 seconds

First, convert 40 miles to meters using the conversion factor: \[ 40 \, \text{miles} \times 1609.34 \, \frac{\text{meters}}{\text{mile}} = 64373.6 \, \text{meters} \]

Next, convert 1 hour to seconds: \[ 1 \, \text{hour} \times 3600 \, \frac{\text{seconds}}{\text{hour}} = 3600 \, \text{seconds} \]

Now, divide the total meters by the total seconds to find the speed in meters per second: \[ \frac{64373.6 \, \text{meters}}{3600 \, \text{seconds}} \approx 17.8816 \, \text{m/s} \]

Final Answer