Over the time interval 1 ≤ t ≤ 9, a particle moves along a straight line with a velocity of v(t) = 1/8 6 t m/s, where t is measured in seconds. Positive values of v indicate that the particle is moving to the east, while negative values of v indicate that it is moving to the west. (a) Does the particle ever reverse its direction? If so, at what time(s)? (b) Calculate T v(t) v(t) dt. Then, use a complete sentence to explain the meaning of your answer in the t context of this problem. (c) Find the total distance traveled by the particle on the time interval 1 ≤ t ≤9. Include units, and circle your answer.

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