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

Convert 40 miles per hour (mph) to meters per second (m / s).
Transcript text: 2. Convert 40 miles per hour $(\mathrm{mph})$ to meters per second $(\mathrm{m} / \mathrm{s})$.
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Solution

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Solution Steps

Step 1: Understand the Conversion Factors

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
Step 2: Convert Miles to Meters

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

Step 3: Convert Hours to Seconds

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

Step 4: Calculate Meters per Second

Now, divide the total meters by the total seconds to find the speed in meters per second: 64373.6meters3600seconds17.8816m/s \frac{64373.6 \, \text{meters}}{3600 \, \text{seconds}} \approx 17.8816 \, \text{m/s}

Final Answer

17.8816m/s \boxed{17.8816 \, \text{m/s}}

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