To convert miles per hour to meters per second, we need to follow these steps:
1. Identify the given values:
- Speed: 65 miles per hour
- Conversion factor for miles to meters: 1 mile = 1,609 meters
- Conversion factor for hours to seconds: 1 hour = 3,600 seconds
2. Convert the speed from miles per hour to meters per second:
- First, multiply the speed in miles per hour by the number of meters in one mile to get the speed in meters per hour:
[tex]\[
65 \text{ miles/hour} \times 1,609 \text{ meters/mile} = 104,585 \text{ meters/hour}
\][/tex]
- Next, convert the speed from meters per hour to meters per second by dividing by the number of seconds in one hour:
[tex]\[
\frac{104,585 \text{ meters/hour}}{3,600 \text{ seconds/hour}} = 29.051388888888887 \text{ meters/second}
\][/tex]
3. Round the result to the nearest whole number:
[tex]\[
29.051388888888887 \approx 29
\][/tex]
Thus, 65 miles per hour is approximately 29 meters per second.
