The speed `5 ms^(-1)` is less than `25 km h^(-1) `

Answer

To determine whether the speed of \(5 \, \text{m/s}\) is less than \(25 \, \text{km/h}\), we need to convert \(25 \, \text{km/h}\) into meters per second (m/s) for comparison.

### Step 1: Convert kilometers to meters
1 kilometer is equal to 1000 meters. Therefore, to convert kilometers into meters, we multiply by 1000.

\[ 25 \, \text{km} = 25 \times 1000 \, \text{m} = 25000 \, \text{m} \]

### Step 2: Convert hours to seconds
1 hour is equal to 3600 seconds. Therefore, to convert hours into seconds, we multiply by 3600.

\[ 1 \, \text{h} = 3600 \, \text{s} \]

### Step 3: Convert \(25 \, \text{km/h}\) to \(m/s\)
Now we can convert \(25 \, \text{km/h}\) to meters per second using the conversions from steps 1 and 2.

\[ 25 \, \text{km/h} = \frac{25000 \, \text{m}}{3600 \, \text{s}} \]

### Step 4: Perform the division
Now we divide \(25000\) by \(3600\):

\[ \frac{25000}{3600} \approx 6.94 \, \text{m/s} \]

### Step 5: Compare the speeds
Now we compare \(5 \, \text{m/s}\) with \(6.94 \, \text{m/s}\):

\[ 5 \, \text{m/s} < 6.94 \, \text{m/s} \]

### Conclusion
Since \(5 \, \text{m/s}\) is indeed less than \(25 \, \text{km/h}\), the statement is proven to be true.

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