The function v(t) =t° - 8t + 15t, [0,7], is the velocity in m/sec of a particle moving along the x-axis. Complete parts (a) through (c). a. Determine when the motion is in the positive direction and when it is in the negative direction. b. Find the displacement over the given interval. c. Find the distance traveled over the given interval. Determine when the motion is in the positive direction. Choose the correct answer below. А. (5,7] B. (0,3) U (5,7] Oc. (3,5) U (5,7] O D. (3,5) Determine when the motion is in the negative direction. Choose the correct answer below. A. (3,5) U (5,7] В. (3,5) C. (0,3) U (5,7] D. (5,7] b. Find the displacement over the given interval. The displacement over the given interval is m. (Simplify your answer.) c. Find the distance traveled over the given interval. The distance traveled over the given interval is m. (Simplify your answer.)

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