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A particle travels with a velocity v(t) = t^2 7t + 10 m/sec with the initial position of s(0) = 4 (a) Find the position

A particle travels with a velocity v(t) = t^2 7t + 10 m/sec with the initial position of s(0) = 4

(a) Find the position function s(t) at any time t

(b) Find the displacement between t = 0 and t = 6 seconds

(c) Find the distance traveled between t = 0 and t = 6 seconds

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