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The speed limit on some interstate highways is roughly 125 km/h. A. What is this in meters per second? B. How many miles per hour is this?

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Step 1

1~\text{km/h} = 1~\text{km} / 3600~\text{s} \times \frac{1000~\text{m}}{1~\text{km}} = \frac{1000~\text{m}}{3600~\text{s}} = \frac{5}{18}~\text{m/s} \approx 0.278~\text{m/s}

To convert the speed limit from kilometers per hour to meters per second, we first need to recall the conversion factor between these units. We know that: Therefore, we can find the conversion factor between kilometers per hour and meters per second as follows:

Step 2

125~\text{km/h} = 125 \times \frac{5}{18}~\text{m/s} \approx 35.7~\text{m/s}

Now, we can convert the speed limit of 125 km/h to meters per second using the conversion factor found above:

Final Answer

A. The speed limit of 125 km/h is approximately 35.7 m/s. 3. To convert the speed limit from kilometers per hour to miles per hour, we can use the fact that:

1~\text{km} = 0.621371~\text{mi}

Therefore, the conversion factor between kilometers per hour and miles per hour is:

1~\text{km/h} = 0.621371~\text{mi/h}

4. Now, we can convert the speed limit of 125 km/h to miles per hour using the conversion factor found above:

125~\text{km/h} = 125 \times 0.621371~\text{mi/h} \approx 77.6~\text{mi/h}

B. The speed limit of 125 km/h is approximately 77.6 mi/h.

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