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Let s(t) represent the position, v(t) represent the velocity, and a(t) represent the acceleration of a...

Let s(t) represent the position, v(t) represent the velocity, and a(t) represent the acceleration of a particle moving along a horizontal line. For each of the problems below:

a. Find the net distance traveled in the interval given. Justify your answer analytically

b. Find the total distance traveled in the interval given. Justify your answer analytically.

v(t) = t^2 – 5t + 6 where 0 ≤ t ≤ 3.

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