QQuestionPhysics
QuestionPhysics
"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?"
10 months agoReport content
Answer
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Step 1:: Convert kilometers per hour to meters per second.
v_{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.
v_{m/s} = \frac{115 \, \mathrm{km/h} \times 1000 \, \mathrm{m/km}}{3600 \, \mathrm{s/h}}
Step 3:: Simplify the equation.
v_{m/s} \approx 31.94 \, \mathrm{m/s}
Step 4:: Convert meters per second to miles per hour.
v_{mph} = \frac{v_{m/s} \times 1609.34 \, \mathrm{miles/mile}}{3600 \, \mathrm{s/h}}
We know that there are 1609.34 meters in a mile and 3600 seconds in an hour. So, to convert the speed limit from meters per second to miles per hour, we can use the following formula:
Step 5:: Plug in the calculated meters per second to find miles per hour.
v_{mph} = \frac{31.94 \, \mathrm{m/s} \times 1609.34 \, \mathrm{miles/mile}}{3600 \, \mathrm{s/h}}
Step 6:: Simplify the equation.
v_{mph} \approx 86.87 \, \mathrm{miles/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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