The speed of a car is 72 km `h^(-1)` . Express it in m `s^(1)`

Explanation

To convert the speed of a car from kilometers per hour (km/h) to meters per second (m/s), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Conversion Factor**:
We know that:
- 1 kilometer (km) = 1000 meters (m)
- 1 hour (h) = 3600 seconds (s)

Therefore, to convert km/h to m/s, we can use the conversion factor:
\[ 1 \text{ km/h} = \frac{1000 \text{ m}}{3600 \text{ s}} = \frac{1000}{3600} \text{ m/s} \]

2. **Simplify the Conversion Factor**:
We can simplify \(\frac{1000}{3600}\):
\[ \frac{1000}{3600} = \frac{1000 \div 200}{3600 \div 200} = \frac{5}{18} \text{ m/s} \]

Thus, we have:
\[ 1 \text{ km/h} = \frac{5}{18} \text{ m/s} \]

3. **Convert the Given Speed**:
Now, we need to convert 72 km/h to m/s:
\[ 72 \text{ km/h} = 72 \times \frac{5}{18} \text{ m/s} \]

4. **Calculate the Result**:
Now, we perform the multiplication:
\[ 72 \times \frac{5}{18} = \frac{72 \times 5}{18} = \frac{360}{18} = 20 \text{ m/s} \]

5. **Final Answer**:
Therefore, the speed of the car in meters per second is:
\[ \text{Speed} = 20 \text{ m/s} \]