Aesthetic Alice really, really doesn't like the new vase her roommate bought. It is just a horrible shade of pink, and the shape reminds Alice of a deformed frog. Alice can't stand it. She decides to remove this blight from existence, but in a creative manner. Rather than simply dropping it on the floor, or breaking it with a hammer, she places it in the courtyard of the apartment building, sitting on a stool. She then ties a bowling ball of mass m = 3 kg to one end of a lightweight cable, and ties the other end to one of the limbs of big oak tree in the courtyard, directly above the vase. When the bowling ball hangs straight down, it almost touches the side of the vase. \"Perfect!\" smirks Alice. Alice backs up a short distance, pulling the ball back and slightly upward. She counts \"One ... Two ... Three!\" and releases the ball. Exactly t = 1.7236 seconds later, the ball completely demolishes the vase. At that moment, Alice's roommate walks into the courtyard ... How long is the cable connecting the ball to the oak tree?