Calculating Bullet Speed from Miles per Hour to Meters per Second

Speed Conversion: 9mm Bullet

A 9mm bullet travels at 853 miles per hour. To convert the bullet's speed from miles per hour to meters per second, we need to use a conversion factor for miles to kilometers and dimensional analysis.

Final answer: To convert the bullet's speed from miles per hour to meters per second, first, convert miles to kilometers (1 mile is about 1.60934 kilometers) and then convert kilometers per hour to meters per second (1 kilometer per hour is approximately 0.27778 meters per second). Using these conversion factors, we found the bullet's speed to be approximately 381.15 meters per second.

Explanation: In order to convert the speed of the bullet from miles per hour to meters per second, we will use dimensional analysis and conversion factors as follows:

1. Convert miles per hour to kilometers per hour: 1 mile is approximately 1.60934 kilometers, so 853 miles per hour is about 1372.14 kilometers per hour.
2. Convert kilometers per hour to meters per second: There are 1000 meters in a kilometer and 3600 seconds in an hour, so 1372.14 kilometers per hour is equivalent to approximately 381.15 meters per second.

By following these steps, we successfully converted the speed of the 9mm bullet from 853 miles per hour to approximately 381.15 meters per second.