a golf ball dropped onto a hard surface rebounds exactly 1/3 of the height from which it falls. how far will it rebound after hitting the surface for the third time if it initially dropped from a height of 18 feet
lets see, what is wrong with (1/3)^3 * 18
To find out how far the golf ball will rebound after hitting the surface for the third time, we can use the concept of geometric progression.
The height from which the golf ball falls is 18 feet. After the first bounce, it rebounds to 1/3 of its initial height, which is (1/3) * 18 = 6 feet.
For each subsequent bounce, the ball will rebound to 1/3 of its previous rebound height. So, after the second bounce, it will rebound to (1/3) * 6 = 2 feet.
To find the rebound distance after the third bounce, we'll repeat this process again. After the third bounce, it will rebound to (1/3) * 2 = 2/3 feet.
Therefore, the golf ball will rebound approximately 2/3 feet after hitting the surface for the third time.