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?

If the rock falls from a height of 100 m, then after t seconds the height is given as H(t)=100-4.9t2…

Answered: Gravity on Earth If a rock falls from a…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.5: Zeros Of Polynomial Functions

Problem 81E

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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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