Question

A ball is dropped from a height of 12 feet and returns to a height that is one half of the height from which it fell. The ball continues to bounce half the height of the previous bounce each time. How far will the ball have traveled vertically when it hits the ground for the fifth time? It might be helpful to sketch the path of the ball.

Answer 1

Answer:

34.5

Step-by-step explanation:

A/PEX

Answer 2

The total distance covered by the ball by hitting the ground 5 times will be 23.25 feet.

What is summation?

A summation, which is the result of adding two or more numbers or quantities, is also known as a sum. A summation always has an integer number of terms. There might simply be two terms, but there might also be 100,000 or a million. Summations exist with an infinite number of parameters.

In another word, the summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.

Given that ball dropped from 12 feet and going to half continues

First hitting = 12 feet

Second hitting = 6 feet

Third hitting = 3 feet

Four hitting = 1.5 feet

Fifth hitting = 0.75 feet

Hence the total distance covered

12 + 6 + 3 + 1.5 + 0.75 = 23.25 feet hence it will be correct.

For more information about summation

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