The speed limit in Canada is 100 km/h.
a. How many miles per hour is this?
b. How many feet per second?
The Correct Answer and Explanation is :
To convert 100 kilometers per hour (km/h) into miles per hour (mph) and feet per second (ft/s), we can use the following conversion factors:
- Kilometers to Miles:
- 1 kilometer is approximately 0.621371 miles.
- Hours to Seconds:
- 1 hour has 3600 seconds.
Part A: Converting km/h to mph
To convert kilometers per hour to miles per hour:
[
\text{Speed in mph} = \text{Speed in km/h} \times 0.621371
]
Substituting the values:
[
\text{Speed in mph} = 100 \text{ km/h} \times 0.621371 \approx 62.1371 \text{ mph}
]
Therefore, 100 km/h is approximately 62.14 mph.
Part B: Converting km/h to ft/s
To convert kilometers per hour to feet per second:
- First, convert kilometers to feet. Since 1 kilometer is approximately 3280.84 feet, we can use this conversion:
[
\text{Speed in ft/s} = \text{Speed in km/h} \times \left(\frac{3280.84 \text{ ft}}{1 \text{ km}}\right) \times \left(\frac{1 \text{ hour}}{3600 \text{ seconds}}\right)
]
Thus:
[
\text{Speed in ft/s} = 100 \text{ km/h} \times \left(\frac{3280.84 \text{ ft}}{1 \text{ km}}\right) \times \left(\frac{1 \text{ hour}}{3600 \text{ seconds}}\right)
]
Calculating this gives:
[
\text{Speed in ft/s} = 100 \times 3280.84 / 3600 \approx 91.44 \text{ ft/s}
]
Therefore, 100 km/h is approximately 91.44 ft/s.
Conclusion
In summary, a speed limit of 100 km/h translates to approximately 62.14 mph and 91.44 ft/s. Understanding these conversions is essential for comprehending speed limits and distances, especially for travelers moving between countries that use different measurement systems. This awareness helps ensure safety and compliance with local regulations while driving.