Given the displacement equation d = v₀t + (1/2)at², which of the following correctly expresses the acceleration a in terms of displacement d, time t and initial speed v₀?

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A 2(d/t² - v₀/t)
B 2(d + v₀t)
C -2(d/t² + v₀/t)
D -2(d - v₀)/t²