In an experiment on impact and acceleration, a student hides an accelerometer (a device that measures acceleration) inside a baseball. The baseball is then thrown by a pitcher at a speed of 35 m/s towards a batter standing 60 feet away. The batter hits the ball, directly back towards the pitcher, at a speed of 50 m/s. The accelerometer measures an average acceleration during the impact with the bat of 85,000 m/s². How long was the ball in contact with the bat?