Sure! Let’s find out how fast 40 miles per hour is in feet per second and round it to the nearest whole number.
### Conversion Factors
1 mile = 5,280 feet
1 hour = 3,600 seconds
### Steps to Solve the Problem
1. Identify the speed in miles per hour:
Jackrabbits can run at speeds of up to 40 miles per hour.
2. Convert miles per hour to feet per hour:
Since 1 mile equals 5,280 feet, multiply the speed in miles per hour by the number of feet in a mile.
[tex]\[
\text{Speed in feet per hour} = 40 \, \text{miles per hour} \times 5,280 \, \text{feet per mile}
\][/tex]
3. Calculate the speed in feet per hour:
[tex]\[
40 \times 5,280 = 211,200 \, \text{feet per hour}
\][/tex]
4. Convert feet per hour to feet per second:
Since 1 hour equals 3,600 seconds, divide the speed in feet per hour by the number of seconds in an hour.
[tex]\[
\text{Speed in feet per second} = \frac{211,200 \, \text{feet per hour}}{3,600 \, \text{seconds per hour}}
\][/tex]
5. Calculate the speed in feet per second:
[tex]\[
\frac{211,200}{3,600} \approx 58.666666666666664 \, \text{feet per second}
\][/tex]
6. Round to the nearest whole number:
[tex]\[
58.666666666666664 \, \text{feet per second} \approx 59 \, \text{feet per second}
\][/tex]
### Answer
Jackrabbits can run at speeds up to 59 feet per second when the speed is rounded to the nearest whole number.
