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"The speed limit on some interstate highways is roughly 115 km/h. What is this speed in meters per second? How many miles per hour is this?"
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Answer

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Step 1
: Convert kilometers per hour to meters per second.

vm/s=vkm/h×1000 m/km3600 s/hv_{m/s} = \frac{v_{km/h} \times 1000 \, \mathrm{m/km}}{3600 \, \mathrm{s/h}}
We know that there are 1000 meters in a kilometer and 3600 seconds in an hour. So, to convert the speed limit from kilometers per hour to meters per second, we can use the following formula:

Step 2
: Plug in the given speed limit to find meters per second.

vm/s=115 km/h×1000 m/km3600 s/hv_{m/s} = \frac{115 \, \mathrm{km/h} \times 1000 \, \mathrm{m/km}}{3600 \, \mathrm{s/h}}

Final Answer

The speed limit of 115 km/h is approximately 31.94 m/s or 86.87 miles/h.

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