Final answer:
To convert 7.0 miles per hour to kilometers per second using dimensional analysis, multiply by appropriate conversion factors.
Step-by-step explanation:
To convert miles per hour to kilometers per second using dimensional analysis, we need to set up conversion factors. 1 mile is equal to approximately 1.609 kilometers, and 1 hour is equal to 3,600 seconds. So, to convert miles per hour to kilometers per second, we can set up the following conversion:
7.0 mi/h * 1.609 km/1 mi * 1 h/3600 s = 0.003107 km/s
Therefore, a person running at a speed of 7.0 miles per hour is equivalent to running at a speed of approximately 0.003107 kilometers per second.