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A robotic arm on an assembly line handles delicate components. To properly place these components, the position of the arm must be specified as a function of time. If, however, the acceleration of the arm is too great, the components may be damaged.
What is known:
- The arm moves along a linear path.
- The position of the arm is given by
x(t) = 0.3 t2 - 0.2 t3 m for 0
≤ t ≤