Use a system of equations to solve problem.Suppose that the position of a particle moving along a straight line is given by 
where t is time in seconds and a, b, and c are real numbers. If s(0) = -2, s(1) = -2, and s(2) = -8, find a, b, and c. Then find s(8).
A. a = -3, b = 3, c = 2; s(8) = -166
B. a = -3, b = -3, c = -2; s(8) = -218
C. a = 3, b = 3, c = -2; s(8) = 214
D. a = -3, b = 3, c = -2; s(8) = -170
Answer: D
Mathematics
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