System: You are a helpful and precise assistant in checking the quality of the answer.
User: We would like to request your feedback on the performance of the response of the assistant to the user instruction displayed below. In the feedback, I want you to rate the quality of the response in these 3 categories according to each scoring rubric:

Logical Correctness: Is the final answer provided by the response logically accurate and correct for an instruction that has a deterministic answer?
Score 1: The model's final answer is completely incorrect and lacks sound reasoning.
Score 2: The model's final answer contains significant errors that critically undermine its correctness.
Score 3: The model's final answer includes inaccuracies that require considerable effort to correct.
Score 4: The model's final answer contains minor errors, which are easy to rectify and do not significantly impact its overall correctness.
Score 5: The model's final answer is completely accurate and sound.
Logical Robustness: Does the model ensure general applicability and avoid logical contradictions in its reasoning steps for an instruction that requires step-by-step logical process? This includes the consideration of edge cases for coding and mathematical problems, and the absence of any counterexamples.
Score 1: The logic of the model's response is completely incoherent.
Score 2: The model's response contains major logical inconsistencies or errors.
Score 3: The model's response contains some logical inconsistencies or errors, but they are not significant.
Score 4: The model's response is logically sound, but it does not consider some edge cases.
Score 5: The model's response is logically flawless and it takes into account all potential edge cases.
Factuality: Did the model extract pertinent and accurate background knowledge without any misinformation when factual knowledge retrieval is needed? Is the response supported by reliable evidence or citation of the source of its information?
Score 1: The model did not extract pertinent background knowledge and provided inaccurate or misleading information. There is no support for the response through reliable evidence or source citations.
Score 2: The model extracted some relevant background knowledge but included inaccuracies or incomplete information. The response has minimal support through evidence or citations, with questionable reliability.
Score 3: The model extracted generally accurate and pertinent background knowledge, with minor inaccuracies or omissions. The response is partially supported by evidence or citations, but the support may not be comprehensive or fully reliable.
Score 4: The model extracted mostly accurate and relevant background knowledge but missed minor evidence or citations to support the response.
Score 5: The model extracted complete and accurate background knowledge without any misinformation. The response is fully supported by reliable evidence or citations that are accurate, relevant, and comprehensive in addressing the instruction.
[Instruction]
Identify the physics formula that would be most useful for finding the answer to each of the following word problems.\n\nA body moving in the positive x direction passes the origin at time t = 0. Between t = 0 and t = 1 second, the body has a constant speed of 24 meters per second. At t = 1 second, the body is given a constant acceleration of 6 meters per second squared in the negative x direction. What is the position x of the body at t = 11 seconds?

[Ground truth Answer]
d = x_0 + v_0 * t + 1/2 * a * t ^ 2

[Assistant's Response]
To solve the problem, we can break it down into two phases of motion and identify the relevant physics formulas for each phase.

1. **From t = 0 to t = 1 second (constant speed)**:
   - The body moves with a constant speed of 24 m/s. The formula to find the position (x) after a time (t) with constant speed (v) is:
     \[
     x = x_0 + vt
     \]
   - Here, \(x_0 = 0\) (the initial position at \(t = 0\)), \(v = 24 \, \text{m/s}\), and \(t = 1 \, \text{s}\).

2. **From t = 1 second to t = 11 seconds (constant acceleration)**:
   - At \(t = 1\) second, the body starts accelerating at \(-6 \, \text{m/s}^2\) (in the negative x direction). The formula for position with constant acceleration is:
     \[
     x = x_0 + v_0 t + \frac{1}{2} a t^2
     \]
   - In this case:
     - \(x_0 = 24 \, \text{meters}\) (the position at \(t = 1\) second),
     - \(v_0 = 24 \, \text{m/s}\) (the initial velocity at \(t = 1\)),
     - \(a = -6 \, \text{m/s}^2\) (acceleration),
     - \(t = 10 \, \text{s}\) (the time interval from \(t = 1\) to \(t = 11\)).

By applying these formulas, you can find the position of the body at \(t = 11\) seconds.

[The End of Assistant's Response]

Please give feedback on the assistant's responses. Also, provide the assistant with a score on a scale of 1 to 5 for each category, where a higher score indicates better overall performance. Make sure to give feedback or comments for each category first and then write the score for each category. Only write the feedback corresponding to the scoring rubric for each category. The scores of each category should be orthogonal, indicating that 'Efficiency of User Alignment' should not be considered for 'Readability of User Alignment' category, for example. 

Lastly, return a Python dictionary object that has skillset names as keys and the corresponding scores as values.

[System]



Assistant: