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During a finishing operation the bed of an industrial planer
moves alternately 30 in. to the right and 30 in, to the left. The
velocity of the bed is limited to a maximum value of 6 in./s to the
right and 12 in./s to the left; the acceleration is successively equal
to 6 in./s² to the right, zero, 6 in./s² to the left, zero, etc. Determine
the time required for the bed to complete a full cycle, and draw
the t-t and x-t curves.

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