These worksheets use roller coaster diagrams to help students visualize and answer questions about kinetic and potential energy changes.

The image shows two roller coaster diagrams with labeled points (A, B, C, D, E) and questions related to kinetic and potential energy. Below is a detailed explanation of how to solve the problems for both diagrams.

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Diagram 1:

#### Roller Coaster Path:
- Points: A, B, C, D, E
- Key Observations:
- Point D is at the highest point on the track.
- Points A, B, and C are at lower elevations.
- Point E is at an intermediate height.

#### Questions and Solutions:

1. Where does the roller coaster have the most potential energy?
- Potential Energy (PE) depends on the height of the object above a reference point. The higher the object, the more potential energy it has.
- Answer: D (highest point)

2. Where does the roller coaster have the least potential energy?
- The lowest point on the track will have the least potential energy.
- Answer: C (lowest point)

3. Where does the roller coaster have the most kinetic energy?
- Kinetic Energy (KE) is maximum when the speed of the roller coaster is highest. This typically occurs at the lowest point of the track or where the roller coaster is moving fastest.
- Answer: C (lowest point, where speed is highest)

4. Where does the roller coaster have the least kinetic energy?
- Kinetic energy is lowest when the speed is minimal. This occurs at the highest point of the track, where the roller coaster momentarily slows down before descending.
- Answer: D (highest point, where speed is lowest)

5. Where is potential energy becoming less?
- Potential energy decreases as the roller coaster moves downward from a high point to a low point.
- Answer: Between D and C (as the roller coaster descends from the highest point to the lowest point).

6. Where is potential energy becoming more?
- Potential energy increases as the roller coaster moves upward.
- Answer: Between C and D (as the roller coaster ascends from the lowest point to the highest point).

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Diagram 2:

#### Roller Coaster Path:
- Points: A, B, C, D
- Key Observations:
- Point A is at the highest point on the track.
- Points B, C, and D are at progressively lower elevations.

#### Questions and Solutions:

1. Where does the roller coaster have the most potential energy?
- The highest point on the track will have the most potential energy.
- Answer: A (highest point)

2. Where does the roller coaster have the least potential energy?
- The lowest point on the track will have the least potential energy.
- Answer: C (lowest point)

3. Where does the roller coaster have the most kinetic energy?
- The lowest point on the track will have the most kinetic energy because the roller coaster is moving fastest there.
- Answer: C (lowest point)

4. Where does the roller coaster have the least kinetic energy?
- The highest point on the track will have the least kinetic energy because the roller coaster is moving slowest there.
- Answer: A (highest point)

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Summary of Answers:

#### Diagram 1:
1. Most potential energy: D
2. Least potential energy: C
3. Most kinetic energy: C
4. Least kinetic energy: D
5. Potential energy becoming less: Between D and C
6. Potential energy becoming more: Between C and D

#### Diagram 2:
1. Most potential energy: A
2. Least potential energy: C
3. Most kinetic energy: C
4. Least kinetic energy: A

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Final Answer:

\boxed{
\text{Diagram 1: } \text{1. D, 2. C, 3. C, 4. D, 5. Between D and C, 6. Between C and D} \\
\text{Diagram 2: } \text{1. A, 2. C, 3. C, 4. A}
}