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Convert the quantity 55 miles/hour to meters/second, given that:

- 1 mile = 1.609 kilometers
- 1 hour = 3600 seconds
- 1 kilometer = [tex]10^3[/tex] meters

Answer :

Final Answer:

55 miles per hour (mi/hr) is approximately equal to 24.582 meters per second (m/s) using the provided conversion factors.

Explanation:

To convert 55 miles/hour (mi/hr) to meters per second (m/s), we'll use the provided conversion factors:

1 mile (mi) = 1.609 kilometers (km)

1 kilometer (km) = 1000 meters (m)

1 hour (hr) = 3600 seconds (s)

First, convert miles to kilometers:

55 mi * 1.609 km/mi = 88.495 km

Now, convert kilometers/hour (km/hr) to meters/second (m/s):

88.495 km/hr * (1000 m/km) / (3600 s/hr) = 24.582 m/s

So, 55 miles per hour is approximately equal to 24.582 meters/second.

In this conversion, we first converted miles to kilometers by multiplying by the conversion factor, and then we converted kilometers per hour to meters per second by multiplying by the appropriate conversion factor. This process allows us to express speed in meters per second, which is a common unit in the metric system for measuring speed and velocity.

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