box the finals answers. Provide the necessary explanations for your solutions. Show the necessary diagrams. A particle which is moving along the x-axis has an acceleration given by a(t) = 3-2t fps² withx(0) = 6 ft and v(0) = 5 fps. Determine the following:a. Derive the general equations for the particle's position and velocityb. The total distance traveled by the particle from t = 2 to t = 10 secs.c. The average velocity of the particled. Plot the position, velocity and acceleration of the particle up to t = 10 secs.

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box the finals answers. Provide the necessary explanations for your solutions. Show the necessary diagrams.

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