Convert Train Speed from km/h to m/s

The question asks for the train's final speed in meters per second (m/s), given that it reaches a speed of 40 km/h. The time information (10 minutes) is not needed for this specific conversion.

To convert speed from kilometers per hour (km/h) to meters per second (m/s), we use the conversion factor:

• 1 km = 1000 m
• 1 hour = 3600 s

Therefore, the conversion factor is:

Now, apply this factor to the given speed of 40 km/h:

1. Speed Conversion: Multiply the speed in km/h by the conversion factor $ \frac{5}{18} $.
2. Calculation: $ 40 \text{ km/h} \times \frac{5}{18} \text{ m/s per km/h} = \frac{40 \times 5}{18} \text{ m/s} $ $ = \frac{200}{18} \text{ m/s} $ $ = \frac{100}{9} \text{ m/s} $
3. Decimal Value: Convert the fraction to a decimal. $ \frac{100}{9} \approx 11.11 \text{ m/s} $

The final speed of the train is approximately 11.11 m/s.