Problem 1-7

1-7. A temperature sensor is attached to slider AB which  moves back and forth through 60 m. The maximum velocities of the slider are 12 m/s to the right and 30 m/s to the left. When the slider is moving to the right, it accelerates and decelerates at a constant rate of 6 m/s²; when moving to the left, the slider accelerates and decelerates at a constant rate of 20 m/s². Determine the time required for the slider to complete a full cycle, and construct the v–t and x–t curves of its motion.