A potted plant is attached to the ceiling by a light string. The string suddenly breaks, and the plant begins falling toward the ground. After falling for t = 0.50 s, someone standing just below the plant catches it in their arms, and gently brings it to a halt by lowering their arms during the catch. If they lower their arms through a distance of d = 73 cm during the catch, then what was the average acceleration a of the plant during the catch? The symbolic answer must be written in terms of t, d, and g, though not all of these variables may be needed. For the representa- tion, draw plots of acceleration vs. time and velocity vs. time for the plant during this entire motion.