To convert \(10 \, \text{km/h}\) to meters per second (\( \text{m/s} \)):

1. We know that \(1 \, \text{km} = 1000 \, \text{m}\) and \(1 \, \text{hour} = 3600 \, \text{seconds}\).
2. Using the conversion factor:
\[
1 \, \text{km/h} = \frac{1000 \, \text{m}}{3600 \, \text{s}} = \frac{5}{18} \, \text{m/s}
\]
3. So, multiply the speed by \( \frac{5}{18} \):
\[
10 \, \text{km/h} \times \frac{5}{18} = \frac{50}{18} = 2.78 \, \text{m/s}
\]

Thus, \(10 \, \text{km/h} = 2.78 \, \text{m/s}\).

Do you want more details or have any questions? Here are some related problems to try:

1. Convert 20 km/h to m/s.
2. How many meters are covered in 15 seconds at 10 km/h?
3. Convert 36 km/h to m/s.
4. Convert 72 km/h to m/s.
5. A car travels 5 km in 30 minutes. What is the speed in m/s?

**Tip**: To quickly estimate km/h to m/s, divide the speed by 3.6.

Learn how to convert 10 km/h to meters per second (m/s) using a simple unit conversion method. This example uses the formula 1 km/h = 5/18 m/s, providing a step-by-step solution. Suitable for students in Grades 6-8.

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