The time, begin mathsize 14px style t end style seconds, it takes a pendulum to complete one back and forth swing can be determined by the equation begin mathsize 14px style t equals 0.32 square root of l end style, where begin mathsize 14px style l end style is the length of the pendulum in inches. A clock manufacturer has an adjustable length pendulum with the shortest length being begin mathsize 14px style 7 space in end style and the longest length being begin mathsize 14px style 11.5 space in end style. Determine the range of swinging times for this pendulum