A pedometer indicates a person walked 4500.0 steps in 20.0 minutes. Each step is 0.75 m long. What is the speed in meters/second?

Question

A pedometer indicates a person walked 4500.0 steps in 20.0 minutes. Each step is 0.75 m long. What is the speed in meters/second?

Answer 1

4500.0 steps/20 min = 225 steps/min X 0.75 meters/ 1 step = 168.75 meters/ minute X 1 minute/60 seconds = 2,8 m/s

Use dimensional analysis and multiply the given number and units by 2 conversion factors(1 step = 0.75 meters and 1 minute = 60 seconds):

1. multiply steps per minute by meters per step to get meters per minute
2. multiply meters per minute by minutes per second to get meters per second

Answer 2

Assuming constant speed, it would be 2.8 m/s.

20 minutes = 1200 seconds.

Assuming each step is 0.75 meters, and you have 4500 steps, you do 4500 * 0.75 = 3375 meters.

3375 meters / 1200 seconds = 2.8 m/s.