Question

If you are driving at a speed of 55.0 miles per hour, then what is your speed in meters per second? (Hint: 1 mile = 1,600 meters.)

Answer 1

To convert 55.0 mi/h to m/s, multiply by 1,600 to convert miles to meters and then divide by 3,600 to convert hours to seconds, which results in 24.44 m/s.

Step-by-step explanation:

To convert a speed from miles per hour (mi/h) to meters per second (m/s), you need to know the conversion factors. It's given that 1 mile = 1,600 meters and 1 hour = 3,600 seconds (since 1 hour = 60 minutes and 1 minute = 60 seconds).

Here's the conversion step by step:

1. Multiply the speed in mi/h by the number of meters in one mile to convert the distance from miles to meters.
2. Since the given speed is in hours and we want it in seconds, we must then divide by the number of seconds in one hour to convert the time from hours to seconds.

Applying this to the given speed of 55.0 mi/h:

Therefore, a speed of 55.0 miles per hour is equivalent to 24.44 meters per second (rounded to two decimal places).