(a) Suppose that the position of an object along the x-axis as a function of time, t, can be given by x(t). Write x(t) as a Taylor series centered at t = 0 x(t) = D n! n=0 What is the second order Taylor polynomial for this series, x (t) 2 T2(t)? (b) x'(0) is the initial velocity, vo. Similarly, x"(0) is the acceleration, a. Finally, Ax = x(t) – x(0). Use these definitions to rewrite your answer from part (a). This form of the equation will be familiar to anyone who has taken Physics I.

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