A ball is dropped from a height of 18 meters and each rebound is 1/3 of the previous distance. What is the total distance the ball has travelled before coming to the rest

Answer 1

To find the total distance the ball has traveled before coming to rest, we need to sum up the distances traveled during each rebound.

Let's start by finding the distances traveled during each rebound:

Rebound 1: 18 meters (the initial drop)
Rebound 2: 18 * 1/3 = 6 meters
Rebound 3: 6 * 1/3 = 2 meters
Rebound 4: 2 * 1/3 = 0.67 meters
Rebound 5: 0.67 * 1/3 = 0.22 meters
(We stop here because the distance becomes negligible/insignificant)

Now let's add up these distances:

Total distance = 18 + 6 + 2 + 0.67 + 0.22
Total distance = 27.89 meters

Therefore, the ball has traveled approximately 27.89 meters before coming to rest.