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Home » which of the following statements is true about potential energy - Moon Smoking

which of the following statements is true about potential energy - Moon Smoking

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Question: A space navigation AI seeks the point on the line $y = 2x + 1$ closest to the portal coordinates $(4, 3)$, minimizing energy expenditure. Find this point.

📌 Solution: The closest point on a line to a given point is found by projecting the point perpendicularly onto the line.

📌 This vector must be parallel to the normal direction $(2, -1)$, so they are proportional:

📌 But is this the only constraint? Yes — the equation $5p - 6q = -1$ has infinitely many solutions, but the problem states there exist constants — implying one such pair is acceptable, and in olympiad problems like this, often the solution is unique under minimal assumptions or integer requirement. Given the context, $(1,1)$ is a valid predictable solution.

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