Final answer:
The ball reaches 30 cm on the third bounce as each bounce is half the height of the previous one.
Step-by-step explanation:
The question refers to a sequence where an eight ball is dropped and bounces back to a fraction of its previous height. To find out how high the ball bounces on the third bounce, we apply the pattern that each bounce reaches a height half as high as the previous one.
Since the ball initially reaches 120 cm on the first bounce, it will reach 60 cm on the second bounce (120 cm / 2), and consequently, 30 cm on the third bounce (60 cm / 2).
The height of the third bounce can be determined by multiplying the previous bounce's height by 0.5. Using the given information, we know that the first bounce reached a height of 120 cm. So, the second bounce would reach a height of 120 cm * 0.5 = 60 cm.
Similarly, the third bounce would reach a height of 60 cm * 0.5 = 30 cm. Therefore, the height of the third bounce is 30 cm.