Express 5 m per second as a speed in kilometers per hour.
Answer (2)
To convert 5 m/s to km/h, multiply by 3.6. This gives you a speed of 18 km/h. Thus, 5 m/s equals 18 km/h.
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Convert meters to kilometers: 5 m = 1000 5 km .
Convert seconds to hours: 1 s = 3600 1 h .
Calculate the speed in kilometers per hour: 3600 1 1000 5 = 18 km/h .
The speed is 18 km/h .
Explanation
Understanding the Problem We are given a speed of 5 meters per second (m/s) and we want to convert it to kilometers per hour (km/h). To do this, we need to convert the distance unit (meters to kilometers) and the time unit (seconds to hours).
Converting Meters to Kilometers First, let's convert meters to kilometers. We know that 1 kilometer (km) is equal to 1000 meters (m). Therefore, to convert 5 meters to kilometers, we divide by 1000: 5 m = 1000 5 km = 0.005 km
Converting Seconds to Hours Next, let's convert seconds to hours. We know that 1 hour is equal to 3600 seconds. Therefore, to convert 1 second to hours, we divide by 3600: 1 s = 3600 1 h
Calculating Speed in km/h Now, we can express the speed in kilometers per hour by dividing the distance in kilometers by the time in hours: Speed = 3600 1 h 0.005 km = 0.005 × 3600 km/h = 18 km/h
Final Answer Therefore, 5 meters per second is equal to 18 kilometers per hour.
Examples
Understanding unit conversions is crucial in many real-life scenarios. For instance, when planning a road trip, you might see distances in kilometers and speed limits in kilometers per hour, but your car's speedometer might also show miles per hour. Converting between these units helps you estimate travel times accurately and ensures you adhere to speed limits, enhancing safety and efficiency during your journey. Also, in sports, understanding the speed of a runner in different units can help coaches optimize training programs.
