# A superball that rebounds 3/10 of the height from which it fell on each bounce is dropped from 38 meters. ?

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How high does it rebound, in meters, on the 8 th bounce?

How far does it travel, in meters, before coming to rest?

How high does it rebound, in meters, on the 8 th bounce?

How far does it travel, in meters, before coming to rest?

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The height of the superball after each bounce can be calculated using the formula:

[h_n = \left(\frac{3}{10}\right)^n \times 38]

Where: (h_n) = height after the (n)th bounce (n) = number of bounces

Substituting the values given:

[h_n = \left(\frac{3}{10}\right)^n \times 38]

For example, if we want to find the height after the 5th bounce:

[h_5 = \left(\frac{3}{10}\right)^5 \times 38]

You can use this formula to calculate the height after any specific bounce.

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