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Speed Conversion

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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.