2. A particle is moving along a horizontal line such that its velocity is given by v(t) = 3t2 – 24t+36, where t > 0 is in seconds, and v is in ft/s. a. Is the particle speeding up or slowing down at t = 5? b. If the particle is found 4 ft to the left of the origin at the instant that it first changes direction, determine its position function.

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