Answer
The distance she falls during the eighth second is $240 feet$.
The total distance she falls during the first 8 seconds is $1024 feet$.
Work Step by Step
For the free fall, it can be represented by an arithmetic sequence, with $a_{1} = 16$ and $d = 32$, which the general term $a_{n} = 16 + (n - 1)(32)$ where $n$ is the number of seconds
The distance she falls during the eighth second (n = 8) is $a_{8} = 16 + (8 - 1)(32) = 240 feet$.
And, the total distance she falls during the first 8 seconds is
$\sum\limits_{n=1}^8 a_{n} = \sum\limits_{n=1}^8 16 + (n - 1)(32)$
= $\frac{8}{2}(16 + 240)$
= $1024 feet$
