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?
Question
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?
Solution
(a) To convert from kilometers per hour to meters per second, you use the conversion factor 1 km = 1000 m and 1 hour = 3600 seconds. So,
100 km/h = 100 * (1000 m / 1 km) * (1 hour / 3600 seconds) = 27.78 m/s
(b) To convert from kilometers per hour to miles per hour, you use the conversion factor 1 km = 0.621371 miles. So,
100 km/h = 100 * 0.621371 miles/km = 62.1371 mph
So, 100 km/h is approximately 27.78 m/s and 62.14 mph.
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