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Correct answer: v = √ω√a² - x²
The given equation for speed is v = √ω√(a² - x²). Substituting x = a/2 into the equation, we get v = √ω√(a² - (a/2)²) = √ω√(a² - a²/4) = √ω√(3a²/4) = √ω(√3a/2). The correct option is A.
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