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

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Answer: A. 2(d/t² - v₀/t)

Subtract v₀t from both sides: d - v₀t = (1/2)at².
Multiply by 2: 2(d - v₀t) = at².
Divide by t²: a = 2(d - v₀t)/t² = 2(d/t² - v₀/t).

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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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