A rock was thrown from a 225m high place. Below, a person is walking, z(s) = s³ – 15s² + 63s – 49. Let z meters be the distance of the person from the position that is right below the rock at s seconds. a. max height of rock?

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A rock was thrown from a 225m high place. Below, a person is walking, z(s) = s – 15s? + 63s – 49.
Let z meters be the distance of the person from the position that is right below the rock at s
seconds.
a. max height of rock?
b. speed of rock when it landed?
c. when is the person at rest?
d. will the rock fall on the person? why or why not
Transcribed Image Text:A rock was thrown from a 225m high place. Below, a person is walking, z(s) = s – 15s? + 63s – 49. Let z meters be the distance of the person from the position that is right below the rock at s seconds. a. max height of rock? b. speed of rock when it landed? c. when is the person at rest? d. will the rock fall on the person? why or why not
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