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A speed of 22.5 m/sec is the same as...

A speed of 22.5 m/sec is the same as

A

40.5km/hr

B

81 km/hr

C

36.8km/hr

D

72km/hr

Text Solution

AI Generated Solution

The correct Answer is:
To convert a speed from meters per second (m/s) to kilometers per hour (km/h), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Conversion Factors**: - 1 meter = 1/1000 kilometers - 1 second = 1/3600 hours 2. **Set Up the Conversion**: - To convert from m/s to km/h, we can use the formula: \[ \text{Speed in km/h} = \text{Speed in m/s} \times \left(\frac{3600 \text{ seconds}}{1 \text{ hour}}\right) \times \left(\frac{1 \text{ km}}{1000 \text{ m}}\right) \] 3. **Substitute the Given Speed**: - Substitute 22.5 m/s into the formula: \[ \text{Speed in km/h} = 22.5 \times \left(\frac{3600}{1}\right) \times \left(\frac{1}{1000}\right) \] 4. **Calculate the Conversion**: - First, calculate \( \frac{3600}{1000} \): \[ \frac{3600}{1000} = 3.6 \] - Now multiply by 22.5: \[ \text{Speed in km/h} = 22.5 \times 3.6 \] 5. **Perform the Multiplication**: - Calculate \( 22.5 \times 3.6 \): \[ 22.5 \times 3.6 = 81 \] 6. **Final Result**: - Therefore, 22.5 m/s is equal to 81 km/h. ### Final Answer: The speed of 22.5 m/sec is the same as **81 km/h**. ---
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