Dive Into a Pool of Water

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An animal that dives into a pool of water is at a depth of x, in feet, after t seconds, where . At what depth, in feet, is the animal 0.5 seconds after it reaches its greatest depth?

Review: Dive Into a Pool of Water


Explanation

In this question, first we want to determine when the greatest depth happens. There are two terms in this expression for x; the first is positive, and the second is negative. The depth will be greatest when the negative term is smallest. That happens when , because then . Note that at this time, so after this time, the depth will be less, so answer choices (D) and (E) are out. So we want to know the depth when . That will be







The correct answer is (C).


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