MILESTONE 2 RETAKE GUIDE
Southern New Hampshire University
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UNIT 2 — MILESTONE 2 20/20
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If a vehicle is going 45 mph, how many feet does it travel in one second?
28 feet
31 feet
73 feet
66 feet
RATIONALE
In general, we use conversion factors to convert from one unit
to another. A conversion factor is a fraction with equal
, quantities in the numerator and denominator, but written with
different units. Here, not only do we need to convert miles into
feet, but we also need to convert hours into seconds. We'll
start with converting miles to feet first.
There are 5280 feet in 1 mile. To convert 45 miles into feet,
multiply by . Notice that this will cancel
the units of miles, and the result is in feet per hour.
45 times 5280 is 237600. This means that 45 miles per hour is
the same as 237600 feet per hour. Next we need to convert
hours into seconds.
If you don't know how many seconds are in an hour, you can
use what you know about minutes in an hour, and seconds in a
minute to create more conversion factors. There are 60
minutes in 1 hour, and there are 60 seconds in 1 minute. Notice
that this will cancel the units of hours and units of minutes, and
the result is in feet per seconds.
In the numerator, we have 237600 feet. In the denominator,
we have 60 times 60, which is equal to 3600. The units in the
denominator are now in seconds. Finally divide 237600 feet
by 3600 seconds.
45 miles per hour is the same as 66 feet per second.
CONCEPT
Converting Unit Rates
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