A pitcher and catcher are separated by 10m and are playing catch with a baseball. The catcher begins walking toward the pitcher the instant he threw the ball. The ball bounced off the catcher’s glove back to the pitcher, then bounced off the pitcher back to the catcher’s mitt, and so on until the catcher reached the pitcher and the ball was trapped between the two. If the catcher walked toward the pitcher at a rate of 1 m/sec and the ball traveled at a speed of 14 m/sec, what was the total distance the ball traveled back and forth before being trapped?​