How do you convert 45 mi/h to m/s, showing the unit cancellation?

To convert 45 miles per hour (mi/h) to meters per second (m/s), we can use the following conversion factors:

• 1 mile = 1609.34 meters
• 1 hour = 3600 seconds

Now, we can set up the conversion:

45 mi/h x (1609.34 m/1 mi) x (1 h/3600 s)

First, let’s break this down step by step:

1. Multiply by the conversion from miles to meters:

45 mi/h x 1609.34 m/1 mi = 72420.3 m/h

2. Now, convert hours to seconds:

72420.3 m/h x (1 h/3600 s) = 20.17 m/s

So, when we put it all together, we have:

45 mi/h = 20.17 m/s

This shows how the units cancel appropriately, resulting in the final velocity in meters per second.