To convert 55 kilometers per hour to meters per second, we can follow these steps:
1. Start with the initial value of 55 kilometers per hour:
[tex]\[
\frac{55 \text{ km}}{1 \text{ hour}}
\][/tex]
2. Convert kilometers to meters by multiplying by [tex]\(1,000\)[/tex] (since 1 kilometer = 1,000 meters):
[tex]\[
\frac{55 \text{ km}}{1 \text{ hour}} \times \frac{1,000 \text{ meters}}{1 \text{ km}}
\][/tex]
3. Convert hours to minutes by multiplying by [tex]\(\frac{1 \text{ hour}}{60 \text{ minutes}}\)[/tex] (since 1 hour = 60 minutes):
[tex]\[
\frac{55,000 \text{ meters}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}}
\][/tex]
4. Convert minutes to seconds by multiplying by [tex]\(\frac{1 \text{ minute}}{60 \text{ seconds}}\)[/tex] (since 1 minute = 60 seconds):
[tex]\[
\frac{55,000 \text{ meters}}{60 \text{ minutes}} \times \frac{1 \text{ minute}}{60 \text{ seconds}}
\][/tex]
5. Simplify the expression to find the speed in meters per second:
[tex]\[
\frac{55,000 \text{ meters}}{3,600 \text{ seconds}} \approx 15.28 \text{ meters per second}
\][/tex]
So, the complete conversion is:
[tex]\[
\frac{55 \text{ km}}{1 \text{ hour}} \times \frac{1,000 \text{ meters}}{1 \text{ km}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} \approx \left[15.28 \frac{\text{ meters}}{\text{ seconds}}\right]
\][/tex]
