A temperature sensor is attached to slider AB which moves back and forth through 60 in. The maximum velocities of the slider are 12 in./s to the right and 30 in./s to the left. When the slider is...

A temperature sensor is attached to slider AB which moves back and forth through 60 in. The maximum velocities of the slider are 12 in./s to the right and 30 in./s to the left. When the slider is moving to the right, it accelerates and decelerates at a constant rate of 6 in./s²
; when moving to the left, the slider accelerates and decelerates at a constant rate of 20 in./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.