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### 2004-E: Conversion Factors 3: Speed and Acceleration Conversions

• 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

#### One Conversion Factor

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

1. Convert 5 meters per second to meters per minute.
2. Convert 12 meters per second to meters per minute.
3. Convert 15 meters per second to feet per second.
4. Convert 60 feet per second to meters per second.
5. Convert 90 feet per second to feet per minute.

#### Two Conversion Factors

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

1. Convert 8 meters per second to meters per hour.
2. Convert 14 meters per second to feet per minute.
3. Convert 29 feet per minute to meters per second.
4. 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 $$\frac{1 \, \text{foot}}{6 \, \text{hours}}$$

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

#### Acceleration Conversions

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