Identical twins, Samantha and Betty, stand on a bridge over a body of water. They each throw a stone into the water below at the exact same time, however Samantha throws her stone upwards with an initial speed of 3.44 m/s and Betty throws her stone downwards at the exact same speed. How far apart, in seconds, are the splashes of the rocks, assuming the height of the bridge is 39.3 meters?