A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t² 16t+30 in t20 seconds. a. If the particle is 33 m to the right of the origin at t = 2 seconds, determine the position function of the particle. b. On which time interval(s) is (are) the particle slowing down? c. What is the total distance travelled by the particle after 4 seconds?

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