\( 60 \times \frac{1000}{3600} = 16.67 \) m/s.
["Understanding the Calculation: ( 60 \ imes \frac{1000}{3600} = 16.67 ) m/s", "When converting speed from kilometers per hour (km/h) to meters per second (m/s), many people rely on a standard conversion factor: 1 hour = 3600 seconds and 1 kilometer = 1000 meters. A practical shorthand for such conversions uses the multiplication:", "[\n\ ext{Speed in m/s} = \ ext{Speed in km/h} \ imes \frac{1000}{3600}\n]", "In this case, let’s break down the calculation:", "[\n60 , \ ext{km/h} \ imes \frac{1000}{3600} = 16.67 , \ ext{m/s}\n]", "### Why Use ( \frac{1000}{3600} )?", "- Distance: 1 kilometer equals 1000 meters\n- Time: 1 hour equals 3600 seconds (60 minutes × 60 seconds)\n- Dividing kilometers by seconds converts hours to meters per second — a fundamental unit transformation in physics and engineering.", "### Step-by-Step Explanation", "1. Start with the speed: 60 km/h (typical car speed forward.)\n2. Apply the conversion factor: Multiply 60 by ( \frac{1000}{3600} )\n3. Simplify the multiplication:\n [\n 60 \ imes \frac{1000}{3600} = 60 \ imes \frac{5}{18} = \frac{300}{18} = 16.67\n ]\n4. Result: ( 16.67 , \ ext{m/s} ) (rounded to two decimal places)", "### Practical Applications", "This conversion is essential in many real-world contexts:\n- Science education: Teaching unit conversions\n- Physics problems: Calculating velocity, motion, or energy\n- Everyday driving: Estimating travel time or speed through city streets\n- Sports analytics: Measuring athlete speeds objectively", "### Pro Tip for Accuracy", "While ( \frac{1000}{3600} = \frac{5}{18} \approx 0.2778 ), using 16.67 m/s is sufficient for most practical purposes and ensures clarity without rounding errors.", "---", "In summary, the formula ( 60 \ imes \frac{1000}{3600} = 16.67 ) m/s elegantly demonstrates how unit conversion transforms real-world speed measurements—critical for learning, engineering, and daily life. Whether you're calculating travel times or solving physics equations, mastering this conversion saves time and improves accuracy."]
