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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?

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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.

This problem has been solved

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