An athlete runs a 100-meter dash in 10.5 seconds. If he runs at a constant speed, what is his average speed in kilometers per hour?
["### How Fast Is a 100-Meter Sprint? Calculating Average Speed in km/h", "When an elite athlete completes a 100-meter dash in just 10.5 seconds, it showcases incredible speed and precision. But how fast is that in kilometers per hour (km/h)? Understanding the math behind this record helps fans appreciate the sheer power behind such performances.", "---", "### The Science Behind Speed: From Seconds to Kilometers per Hour", "Average speed measures distance covered per unit of time. To convert speed from meters per second (m/s) to kilometers per hour (km/h), use the simple formula:", "[\n\ ext{Speed (km/h)} = \ ext{Speed (m/s)} \ imes 3.6\n]", "This conversion works because:\n- 1 kilometer equals 1,000 meters\n- 1 hour equals 3,600 seconds", "Multiplying by 3.6 effectively converts both units from meters and seconds to kilometers and hours, respectively.", "---", "### Plugging in the Numbers", "Given:\n- Distance = 100 meters\n- Time = 10.5 seconds", "Speed in m/s:", "[\n\ ext{Speed} = \frac{100\ \ ext{m}}{10.5\ \ ext{s}} \approx 9.52\ \ ext{m/s}\n]", "Now convert to km/h:", "[\n9.52\ \ ext{m/s} \ imes 3.6 = 34.27\ \ ext{km/h}\n]", "---", "### Final Answer: The Athlete’s Average Speed", "An athlete who completes a 100-meter dash in 10.5 seconds runs at an average speed of approximately 34.3 kilometers per hour (km/h).", "This speed ranks among the fastest recorded in professional sprinting, highlighting the explosive power and technique required to achieve such a quick time. Whether training for elite competition or marveling at a personal best, understanding these calculations connects raw speed to measurable science.", "---", "### Why This Matters", "Knowing the average speed helps coaches design training plans, athletes monitor performance, and sports fans grasp the magnitude of world-class speed. Next time you watch a 100-meter dash, remember — those split-second splits translate into powerful numbers behind the finish line."]
