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Aleonysh [2.5K]
3 years ago
15

Racquetballs are sealed in a pressurized container to maintain the rebound percentage

Mathematics
1 answer:
masha68 [24]3 years ago
3 0

Answer:

1.182 meters.

Step-by-step explanation:

We have that the initial height is 3 meters, we know that after each rebound it recovers 83% of the original height, therefore:

First bounce:

3 * 0.83 = 2.49

Second bounce:

2.49 * 0.83 = 2.0667

We can deduce a formula here:

hn = 3 * (0.83) ^ n

where is the bounce number, we know that the bounce number that we want to find the height is 5, therefore:

h5 = 3 * (0.83) ^ 5

h5 = 1.182

which means that at the fifth bounce, the height is 1.182 meters.

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