How do you convert miles per hour to feet per second?

To convert miles per hour to feet per second, the correct approach involves understanding the relationship between miles, feet, seconds, and hours. One mile is equivalent to 5,280 feet, and one hour contains 3,600 seconds.

When converting from miles per hour to feet per second, you start by recognizing that 1 mile per hour means that for every hour, the object travels 1 mile, or 5,280 feet. Since the conversion requires the speed in terms of seconds rather than hours, you also need to divide by the number of seconds in one hour, which is 3,600.

Therefore, the conversion involves multiplying the speed in miles per hour by 5,280 feet (to convert miles to feet) and then dividing by 3,600 seconds (to adjust the time from hours to seconds). Mathematically, this can be represented as follows:

[ \text{Speed in feet per second} = \left(\text{Speed in miles per hour} \times 5280 , \text{feet}\right) \div 3600 , \text{seconds}. ]

This calculation yields the speed in feet per second, confirming why this answer is the correct method for the