At the initial moment shown in the figure, rank the total energies of the balls, greatest first. Explain your reasoning. Just before the balls hit the ground, rank the total energy of the balls from greatest to least. Explain your reasoning. Two students are discussing their reasoning.

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 Three identical balls are thrown from the same height with the same speed, but in different directions as shown. For this question, you may neglect the effects of air resistance.

  1. At the initial moment shown in the figure, rank the total energies of the balls, greatest first. Explain your reasoning.
  2. Just before the balls hit the ground, rank the total energy of the balls from greatest to least. Explain your reasoning.
  3. Two students are discussing their reasoning.

Student 1: I think that A has a greater energy than B because A has a positive velocity, while B has a negative velocity.

Student 2: But isn’t kinetic energy just 12mv2? I don’t think that direction matters.

Do you agree or disagree with either or both students?

**Physics Problem: Energy Ranking of Three Balls**

Three identical balls are thrown from the same height with the same speed, but in different directions as shown. For this question, you may neglect the effects of air resistance.

**a.** At the initial moment shown in the figure, rank the total energies of the balls, greatest first. Explain your reasoning.

**b.** Just before the balls hit the ground, rank the total energy of the balls from greatest to least. Explain your reasoning.

**c.** Two students are discussing their reasoning.

- **Student 1:** I think that A has a greater energy than B because A has a positive velocity, while B has a negative velocity.

- **Student 2:** But isn’t kinetic energy just \( \frac{1}{2} mv^2 \) ? I don’t think that direction matters.

**Do you agree or disagree with either or both students?**

**Diagram Explanation:**

The diagram shows three balls labeled A, B, and C with arrows indicating their initial directions:
- Ball A is moving upwards.
- Ball B is moving horizontally.
- Ball C is moving downwards. 

The balls are all shown in mid-air at the same height initially.
Transcribed Image Text:**Physics Problem: Energy Ranking of Three Balls** Three identical balls are thrown from the same height with the same speed, but in different directions as shown. For this question, you may neglect the effects of air resistance. **a.** At the initial moment shown in the figure, rank the total energies of the balls, greatest first. Explain your reasoning. **b.** Just before the balls hit the ground, rank the total energy of the balls from greatest to least. Explain your reasoning. **c.** Two students are discussing their reasoning. - **Student 1:** I think that A has a greater energy than B because A has a positive velocity, while B has a negative velocity. - **Student 2:** But isn’t kinetic energy just \( \frac{1}{2} mv^2 \) ? I don’t think that direction matters. **Do you agree or disagree with either or both students?** **Diagram Explanation:** The diagram shows three balls labeled A, B, and C with arrows indicating their initial directions: - Ball A is moving upwards. - Ball B is moving horizontally. - Ball C is moving downwards. The balls are all shown in mid-air at the same height initially.
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