Problem 1-1: Converting 100 km/h to meters per second and miles per hour

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PROBLEM:

The speed limit on some interstate highways is roughly 100 km/h.
(a) What is this in meters per second?
(b) How many miles per hour is this?

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SOLUTION:

Part A

100 kmhour=100 kmhour×1000 m1 km×1 hour3600 sec=27.7 m/s  (Answer)\begin{aligned} 100 \ \frac{ \text{km}}{\text{hour}} & =100 \ \frac{ \bcancel{\text{km}}}{\bcancel{\text{hour}}} \times \frac{1000 \ \text{m}}{1 \ \bcancel{\text{km}}} \times \frac{1 \ \bcancel{\text{hour}}}{3600 \ \text{sec}}\\ \\ &=27.7 \ \text{m/s} \ \qquad \ \color{DarkOrange} \left( \text{Answer} \right) \end{aligned}

Part B

100 kmhour=100 kmhour×1 mile1.609 km=62.2 mi/hr  (Answer)\begin{aligned} 100 \ \frac{ \text{km}}{\text{hour}} & =100 \ \frac{ \bcancel{\text{km}}}{\text{hour}} \times\frac{1 \ \text{mile}}{1.609\ \bcancel{\text{km}}} \\ \\ &=62.2 \ \text{mi/hr} \ \qquad \ \color{DarkOrange} \left( \text{Answer} \right) \end{aligned}
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Video Solution:

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