(a) Allyson and Adrian have decided to connect their ankles with a bungee cord; one end is tied to each person's ankle. The cord is 30 feet long but can stretch up to 90 feet. They both start from the same location. Allyson moves 10 ft/sec and Adrian moves 9 ft/sec in the directions indicated. Adrian stops moving at time t = 5.5 sec, but Allyson keeps on moving 10 ft/sec in the indicated direction. (If a coordinate system is used, assume that the girls' starting position is located at (x, y) = (0, 0) and that Allyson and Adrian move in the positive y and negative x directions, respectively. Let one unit equals one foot.)

Compute the length of the bungee cord at t = 7 seconds. (Round your answer to three decimal places.) (b) Where is Allyson when the bungee reaches its maximum length? (Round your answers to three decimal places as needed.)

(x,y) =?

Building 30 ft 20 ft Adrian Allyson start