Gravity on Earth If a rock falls from a height of 100 meters on Earth, the height H (in meters) after t seconds is approximately H(t) = 100 - 4.9t2(a) In general, quadratic functions are not one-to-one. However, the function H is one-to-one. Why? (b) Find the inverse of H and verify your result. (c) How long will it take a rock to fall 80 meters?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Gravity on Earth If a rock falls from a height of 100 meters
on Earth, the height H (in meters) after t seconds is
approximately
H(t) = 100 - 4.9t2
(a) In general, quadratic functions are not one-to-one.
However, the function H is one-to-one. Why?
(b) Find the inverse of H and verify your result.
(c) How long will it take a rock to fall 80 meters?

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