In Zeno’s Achilles Paradox determine the time t it will take until Achilles overtake the tortoise and the distance d he will have traveled. Note that Achilles must first travel 500 yards to reach the point where the tortoise started. This will take 50 seconds. But in that time the tortoise will move 10 yards farther. Continue this analysis by writing down the sequence of distances that Achilles must travel to reach the point where the tortoise had already been. Show that the sum of this infinite sequence of distances is equal to the distance d calculated above.