At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing. a. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place.
b. On which swing is the length of the arc first less than 1 foot?
c. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b.