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- Topic Cluster: Pure Mathematics
- Topic: Unit Conversion and Dimensional Analysis
- Objective: Convert a quantity that has units in the numerator and the denominator to different units using one or two conversion factors; properly write conversion factors to show how dimensional anlaysis is used
- Content:
- Level: 2

Complete all of the problems below using the conversion factor method. For full credit, you must follow the steps in the style guide.

- Convert 5 meters per second to meters per minute.
- Convert 12 meters per second to meters per minute.
- Convert 15 meters per second to feet per second.
- Convert 60 feet per second to meters per second.
- Convert 90 feet per second to feet per minute.

Complete all of the problems below
by using *two* conversion factors.
For full credit, you must follow the steps
in the style guide.

- Convert 8 meters per second to meters per hour.
- Convert 14 meters per second to feet per minute.
- Convert 29 feet per minute to meters per second.
- Convert 8 feet per minute to meters per hour.

Sometimes, you will begin with numbers in the denominator. For example, imagine a slug moves 1 foot in 8 hours. You would represent this value as $$ \frac{1 \, \text{foot}}{6 \, \text{hours}} $$

- A slug moves 1 foot in 8 hours. How many feet does it move in one second?
- A plane flies one mile in 6 seconds. Convert this value to miles per hour.
- An ant moves 2 meters in 3 minutes. How what is its speed in feet per second?

- Convert 9.8 meters per second-squared to feet per second-squared.

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