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The speed of a racing car is 60 m//s. Wh...

The speed of a racing car is 60 `m//s`. What will this speed be in `km//h`?

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To convert the speed of a racing car from meters per second (m/s) to kilometers per hour (km/h), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the given speed**: The speed of the racing car is given as 60 m/s. 2. **Understand the conversion factor**: To convert from m/s to km/h, we use the conversion factor \( \frac{18}{5} \). This factor comes from the relationship between meters and kilometers, and seconds and hours: - 1 kilometer = 1000 meters - 1 hour = 3600 seconds - Therefore, \( \frac{1000 \text{ m}}{3600 \text{ s}} = \frac{1}{3.6} \) km/s, which is equivalent to multiplying by \( \frac{18}{5} \) to convert m/s to km/h. 3. **Perform the calculation**: Multiply the speed in m/s by the conversion factor: \[ \text{Speed in km/h} = 60 \, \text{m/s} \times \frac{18}{5} \] 4. **Calculate the multiplication**: - First, calculate \( 60 \times 18 = 1080 \). - Then divide by 5: \[ \frac{1080}{5} = 216 \] 5. **Final result**: The speed of the racing car in kilometers per hour is 216 km/h. ### Summary of the Calculation: \[ \text{Speed in km/h} = 60 \times \frac{18}{5} = 216 \, \text{km/h} \]
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LAKHMIR SINGH & MANJIT KAUR-MOTION AND TIME-EXERCISE
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