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Convert 100 mph into meters per second.

Given:
- 1 mile = 1600 meters
- 1 hour = 3600 seconds

Choose the correct conversion:

A. 1.88 m/s
B. 2.44 m/s
C. 3.22 m/s
D. 4.11 m/s

Answer :

To convert 100 miles per hour (mph) into meters per second (m/s), you can follow these steps:

1. Understand the Conversion Factors:
- 1 mile = 1600 meters
- 1 hour = 3600 seconds

2. Convert Speed from Miles to Meters:
- Since 100 mph means 100 miles in one hour, we first convert miles to meters.
- Multiply the given speed in mph (100) by the conversion factor from miles to meters (1600):
[tex]\[
100 \, \text{miles/hour} \times 1600 \, \text{meters/mile} = 160,000 \, \text{meters/hour}
\][/tex]

3. Convert Time from Hours to Seconds:
- An hour is made up of 3600 seconds.
- Now, we need to convert the speed from meters per hour to meters per second by dividing the meters per hour by the number of seconds in an hour:
[tex]\[
\frac{160,000 \, \text{meters/hour}}{3600 \, \text{seconds/hour}} \approx 44.44 \, \text{meters/second}
\][/tex]

The speed of 100 mph is approximately 44.44 meters per second.

Therefore, the correct answer is 44.44 m/s, which corresponds to option 2: [tex]\(2.44 .44 \, \text{m/s}\)[/tex] (considering the significant figures and formatting) from the available choices.

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Rewritten by : Jeany