3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t)= [S(x)dx feet, where the graph of f is shown below as line segments and a semicircle. a) What is the particle's position at t=0? b) What is the particle's position at t = 3? c) What is the particle's speed at t= 4? d) Approximately when is the acceleration of the particle positive? Justify your answer. e) At what time during the 1 7 seconds does s have its smallest value? Justify your answer.

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