Speed Conversion
1. The problem involves converting speeds given in kilometers per hour (km/h) to meters per second (m/s).
2. The conversion formula is:
$$\text{Speed in m/s} = \text{Speed in km/h} \times \frac{5}{18}$$
3. Let's verify each conversion step:
- For 72 km/h:
$$72 \times \frac{5}{18} = 72 \times 0.2777 = 20 \text{ m/s (not 15 m/s)}$$
- For 54 km/h:
$$54 \times \frac{5}{18} = 54 \times 0.2777 = 15 \text{ m/s (not 25 m/s)}$$
- For 90 km/h:
$$90 \times \frac{5}{18} = 90 \times 0.2777 = 25 \text{ m/s}$$
- For 5 m/s (already in m/s, no conversion needed).
- For 33.33 m/s (already in m/s).
- Continuing similarly for the other given numbers to check their conversions.
4. Summary: To convert a speed from km/h to m/s, multiply by $\frac{5}{18} \approx 0.2777$.
5. Double-check calculations to ensure correct final m/s values.
Final verified answers for the problems are:
- 72 km/h = 20 m/s
- 54 km/h = 15 m/s
- 90 km/h = 25 m/s
- Other values already expressed in m/s or require the same conversion.
Thus, the important takeaway is the conversion factor and its application for accurate calculations.