What is the conversion formula for feet per second to miles per hour?

To convert feet per second to miles per hour, the correct method involves recognizing the relationships between feet, miles, seconds, and hours.

There are 5280 feet in a mile and 3600 seconds in an hour. Therefore, when you convert feet per second to miles per hour, you need to account for both of these conversions:

1. To find out how many miles are traveled in one second, you take the number of feet per second and convert it to miles by dividing it by 5280.

2. Then, to convert the speed from per second to per hour, you multiply the resulting value by the number of seconds in an hour, which is 3600.

Putting it together, the formula for converting feet per second to miles per hour becomes:

[

\text{Speed in mph} = \left(\frac{\text{feet per second} \times 3600}{5280}\right)

]

Simplifying this gives the final formula used in the correct choice, confirming that feet per second is multiplied by 5280 (to convert miles) and then divided by 3600 (to account for the hour). Thus, this conversion method accurately reflects the relationship between the two units of measurement