High School

Drag the labels to the correct location in the equation. Not all labels will be used.

(1 kilometer [tex]$=1,000$[/tex] meters, 1 hour [tex]$=60$[/tex] minutes, 1 minute [tex]$=60$[/tex] seconds)

Complete the steps necessary to convert 55 kilometers per hour to meters per second.

Labels: [tex]$\begin{array}{llllll}\text{min} & 60 & 1,000 & 15.28 & 100 & 500\end{array}$[/tex]

Equation:
[tex]
\[
\frac{55 \text{ km}}{1 \text{ hour}} \times \frac{1,000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hour}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}} = \frac{\text{m}}{\text{sec}}
\]
[/tex]

Answer :

Sure, let's go through the steps needed to convert 55 kilometers per hour to meters per second.

1. Understand the conversion from kilometers to meters:
- Since 1 kilometer is equal to 1,000 meters, you can convert kilometers to meters by multiplying by 1,000.

2. Convert 55 kilometers to meters:
- [tex]\( 55 \, \text{km} \times 1,000 \, \left(\frac{\text{m}}{\text{km}}\right) = 55,000 \, \text{m} \)[/tex]

3. Recognize time conversion from hours to seconds:
- 1 hour is equal to 60 minutes, and each minute is equal to 60 seconds. Therefore, 1 hour is equal to [tex]\( 60 \times 60 = 3,600 \)[/tex] seconds.

4. Convert the speed from kilometers per hour to meters per second:
- Since the speed is given in kilometers per hour, and we've converted kilometers to meters, the conversion to meters per second involves dividing by the number of seconds in an hour.
- [tex]\( \frac{55,000 \, \text{meters}}{3,600 \, \text{seconds}} \approx 15.28 \, \text{m/s} \)[/tex]

Thus, when converting 55 kilometers per hour to meters per second, you get approximately 15.28 meters per second.