To determine the average speed of an object that takes 0.5 seconds to travel 60.5 feet, given that 1 mile equals 5280 feet, we can follow these steps:
1. Convert the distance from feet to miles:
- We know that 1 mile = 5280 feet.
- Hence, the distance in miles is calculated by dividing the distance in feet by the number of feet per mile.
[tex]\[
\text{Distance in miles} = \frac{60.5 \text{ feet}}{5280 \text{ feet per mile}} = 0.011458333333333333 \text{ miles}
\][/tex]
2. Convert the time from seconds to hours:
- We know that 1 hour = 3600 seconds.
- Thus, the time in hours is determined by dividing the time in seconds by the number of seconds per hour.
[tex]\[
\text{Time in hours} = \frac{0.5 \text{ seconds}}{3600 \text{ seconds per hour}} = 0.0001388888888888889 \text{ hours}
\][/tex]
3. Calculate the average speed:
- Speed is defined as distance divided by time.
- Therefore, we calculate the average speed in miles per hour by dividing the distance in miles by the time in hours.
[tex]\[
\text{Average speed} = \frac{\text{Distance in miles}}{\text{Time in hours}} = \frac{0.011458333333333333 \text{ miles}}{0.0001388888888888889 \text{ hours}} = 82.5 \text{ miles per hour}
\][/tex]
Thus, after performing these calculations, we find that the average speed of the object is:
[tex]\[
\boxed{82.5 \text{ miles per hour}}
\][/tex]
