Question

What is the speed of a car going v=1.000mphv=1.000mph in SI units? Notice that you will need to change from miles to meters and from hours to seconds. You can do each conversion separately. Use the facts that 1mile=1609m1mile=1609m and 1hour=3600s1hour=3600s.

Answer 1

v = 0.45 m/s

Step-by-step explanation:

Given that the speed of a car is 1 mile per hour. It is needed to be converted to S.I units. The S.I unit here is meters per second. So, we convert it step by step.

First, we convert miles to meters. For that purpose, we have the conversion factor:

1 mile = 1609 m

Therefore,

v = (1 mph)(1609 m/1 mile)

v = 1609 m/h

Now, we convert hour into seconds. For that purpose, we have a conversion factor of:

1 hour = 60 minutes = 60*60 seconds = 3600 seconds

Therefore,

v = (1609 m/h)(1 h/3600 s)

v = 0.45 m/s