Convert to m/s: \( 90 \times \frac{1000}{3600} = 25 \) m/s.

["How to Convert Kilometers per Hour to Meters per Second: A Simple Guide (With Example: ( 90 \ imes \frac{1000}{3600} = 25 ) m/s)", "When working with speed conversions, especially between kilometers per hour (km/h) and meters per second (m/s), understanding the proper mathematical conversion is essential for accuracy in science, engineering, travel, and everyday applications. One common conversion asked is: How do you convert ( 90 , \ ext{km/h} ) to meters per second? The correct and widely accepted formula is:", "[\n\ ext{Speed in m/s} = \frac{\ ext{Speed in km/h} \ imes 1000}{3600}\n]", "Let’s break this down and explore the full calculation step-by-step.", "### Understanding the Conversion Factors", "- ( 1 , \ ext{kilometer} = 1000 , \ ext{meters} )\n- ( 1 , \ ext{hour} = 3600 , \ ext{seconds} )", "So converting from km/h to m/s requires scaling the km/h value by 1000 to convert kilometers to meters, then dividing by 3600 to convert hours to seconds.", "### Step-by-Step Conversion: ( 90 , \ ext{km/h} ) to m/s", "[\n90 , \ ext{km/h} = 90 \ imes \frac{1000 , \ ext{meters}}{3600 , \ ext{seconds}}\n]", "[\n= \frac{90 \ imes 1000}{3600} , \ ext{m/s}\n]", "[\n= \frac{90000}{3600} , \ ext{m/s}\n]", "[\n= 25 , \ ext{m/s}\n]", "### Why This Works", "This derivation shows that multiplying by 1000 converts distance from kilometers to meters, while dividing by 3600 adjusts time from hours to seconds—ensuring proper unit consistency and yielding the correct speed in meters per second.", "### Practical Applications of m/s Conversion", "Knowing how to convert speeds accurately is crucial in fields like transportation, physics, meteorology, and racing. For example:", "- Runners track splits in m/s for precision.\n- Vehicle speed limits and performance metrics rely on accurate unit conversions.\n- Scientific experiments measure motion in SI units, where m/s is standard.", "### Final Note", "Always remember:\n[\n\ ext{m/s} = \ ext{km/h} \ imes \frac{1000}{3600} = \ ext{km/h} \ imes \frac{5}{18}\n]", "So, converting ( 90 , \ ext{km/h} ) yields exactly ( 25 , \ ext{m/s} ), a clean and reliable result perfect for real-world and academic problems.", "---", "Key Takeaway:\nTo convert any speed from km/h to m/s, multiply by ( \frac{1000}{3600} ), simplifying to ( \frac{5}{18} ). For instance, ( 90 \ imes \frac{1000}{3600} = 25 ). Mastering this conversion enhances accuracy in measurements and communications across science and daily life."]