Approximation to estimate the change otation Give vour answer to two Hecin

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter1: Measurement
Section: Chapter Questions
Problem 26SA
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The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s + 0.054s? ft, where s is
the speed in mph.
Use the Linear Approximation to estimate the change in stopping distance per additional mph when s = 35.
(Use decimal notation. Give your answer to two decimal places.)
AF =
ft
Use the Linear Approximation to estimate the change in stopping distance per additional mph when s= 55.
(Use decimal notation. Give your answer to two decimal places.)
Transcribed Image Text:The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s + 0.054s? ft, where s is the speed in mph. Use the Linear Approximation to estimate the change in stopping distance per additional mph when s = 35. (Use decimal notation. Give your answer to two decimal places.) AF = ft Use the Linear Approximation to estimate the change in stopping distance per additional mph when s= 55. (Use decimal notation. Give your answer to two decimal places.)
Expert Solution
Step 1
  • A linear approximation is an approximation of a general function using a linear function.
  • The linear equation formula is given as

                                             y = f(a) + f'(a)(x-a)

                                         where, f(a) is the function of curve.

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