Questions: Convert 40.5 miles per hour to m / s .(1 km=0.621371 mi)

Convert 40.5 miles per hour to m / s .(1 km=0.621371 mi)
Transcript text: Question 4 (1 point) $\checkmark$ Saved Convert 40.5 miles per hour to $\mathrm{m} / \mathrm{s} .(1 \mathrm{~km}=0.621371 \mathrm{mi})$
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Solution

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Solution Steps

Step 1: Convert Miles to Kilometers
  • Use the conversion factor \(1 \, \text{km} = 0.621371 \, \text{mi}\).
  • Calculate kilometers per hour: \[ 40.5 \, \text{mi/h} \times \frac{1 \, \text{km}}{0.621371 \, \text{mi}} = 65.1785 \, \text{km/h} \]
Step 2: Convert Kilometers per Hour to Meters per Second
  • Use the conversion factor \(1 \, \text{km/h} = \frac{1000 \, \text{m}}{3600 \, \text{s}}\).
  • Calculate meters per second: \[ 65.1785 \, \text{km/h} \times \frac{1000 \, \text{m}}{3600 \, \text{s}} = 18.1051 \, \text{m/s} \]

Final Answer

\(\boxed{18.1051 \, \text{m/s}}\)

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