\[ 60 \times \frac{5280}{3600} = 60 \times \frac{22}{15} = 4 \times 22 = 88 \text{ ft/s} \]

["Understanding the Math: 60 × (5280 / 3600) = 88 Feet Per Second", "Converting miles per hour to feet per second is a common calculation in physics, navigation, and engineering—especially when dealing with speed in transportation or motion analysis. The expression", "[ 60 \ imes \frac{5280}{3600} = 60 \ imes \frac{22}{15} = 4 \ imes 22 = 88 \ ext{ ft/s} ]", "might look cryptic at first, but breaking it down step by step reveals a straightforward and powerful method for unit conversion and linear speed calculation.", "---", "### Why Convert Miles per Hour to Feet per Second?", "Feet per second (ft/s) is the standard unit of velocity in the U.S. customary system. When analyzing motion, speed in cars or trains, or wind flow for aviation, converting from miles per hour (mph) to ft/s allows easier integration with standard engineering formulas, software, or safety standards.", "---", "### Step-by-Step Explanation", "1. Start with the units:\n You’re multiplying speed in miles per hour — 60 mph — by a unit conversion factor:\n [ \frac{5280 \ ext{ feet}}{3600 \ ext{ feet per mile}} ]\n This accounts for the distance in miles and converts it to feet.", "2. Simplify the fraction:\n [ \frac{5280}{3600} = \frac{22}{15} ]\n After canceling common factors (divide numerator and denominator by 240), the fraction reduces neatly to ( \frac{22}{15} ).", "3. Multiply by speed:\n [ 60 \ imes \frac{22}{15} = \frac{60 \ imes 22}{15} ]\n To simplify, divide 60 by 15:\n [ \frac{60}{15} = 4 ]\n Then multiply by 22:\n [ 4 \ imes 22 = 88 ]\n Finally, retain the units: 88 ft/s.", "---", "### Final Result", "[ 60 \ ext{ mph} = 60 \ imes \frac{5280}{3600} = 60 \ imes \frac{22}{15} = 4 \ imes 22 = \boxed{88 \ ext{ ft/s}} ]", "---", "### Why This Matters", "This calculation isn’t just academic—it’s essential in fields like automotive design, sports analytics, or aviation, where precise speed measurements ensure safety, performance, and compliance with regulations. Understanding the math behind the conversion allows better handling of kinematics, time-to-distance computations, and system integrations.", "---", "In summary, converting 60 mph to feet per second using unit conversion is simple once you follow algebraic steps. It highlights the elegance of dimensional analysis and helps build confidence in working with real-world speed data. Whether you’re a student, engineer, or curious learner, mastering this conversion unlocks clearer understanding of motion and velocity."]