Final answer:
To convert 7.0 MPH to kilometers per second, first convert miles to kilometers (1 MPH = 1.60934 km/h), then hours to seconds, resulting in an answer of approximately 0.00086384 km/s.
Step-by-step explanation:
To convert the speed of a person running at 7.0 miles per hour (MPH) to kilometers per second (km/s), we need to perform a two-step unit conversion. First, we convert miles to kilometers, and then we convert hours to seconds.
1 mile is approximately 1.60934 kilometers, and 1 hour is 3600 seconds. Thus, we use the following conversions:
- 1 MPH = 1.60934 km/h
- 1 km/h = \( \frac{1}{3600} \) km/s
Now, we multiply 7.0 MPH by these conversion factors:
7.0 MPH \(\times\) 1.60934 km/h / MPH \(\times\) \( \frac{1}{3600} \) km/s / km/h = 3.1078 km/h \(\times\) \( \frac{1}{3600} \) km/s = 0.00086384 km/s
Therefore, a person running at 7.0 MPH is running at 0.00086384 km/s.