Question

Convert 85 miles per hour to meters per second. (Use 1.61 km = 1 mile)
show the steps​

Answer 1

38.0 m/s

Explanation:

Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.

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`\frac{85\text{ mi}}{1\text{ h}}*\frac{1.61\text{ km}}{1\text{ mi}}*\frac{1000\text{ m}}{1\text{ km}}*\frac{1\text{ h}}{3600\text{ s}}=\frac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}`