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问题: 高中数学

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解答:

s = t^4 /4 - 7t^3 /3 + 7t^2 - 8t
速度是位移的导数
即 v = t^3 - 7t^2 + 14t - 8
令 t^3 - 7t^2 + 14t - 8 = 0
即 (t^3 - t^2) - (6t^2 - 6t) + (8t - 8) = 0
即 (t-1)(t^2 - 6t + 8) = 0
即 (t-1)(t-2)(t-4) = 0
所以 t = 1 或 t = 2 或 t = 4