The stopping distance D of a car after the brakes have been applied is directly proportional to the square of the speed s. The stopping distance o a car on dry asphalt is given by the function f(s) = 0.033s², s > 0, where s is measured in mi/h. (a) Find the inverse function of f. f-1(D) = ,D2 0 (b) Interpret the inverse function. The inverse function gives the ---Select--- that a car was going for a ---Select--- O of D. (c) If a car skids 46 ft on dry asphalt, how fast was it moving when the brakes were applied? (Round your answer to one decimal place.)
The stopping distance D of a car after the brakes have been applied is directly proportional to the square of the speed s. The stopping distance o a car on dry asphalt is given by the function f(s) = 0.033s², s > 0, where s is measured in mi/h. (a) Find the inverse function of f. f-1(D) = ,D2 0 (b) Interpret the inverse function. The inverse function gives the ---Select--- that a car was going for a ---Select--- O of D. (c) If a car skids 46 ft on dry asphalt, how fast was it moving when the brakes were applied? (Round your answer to one decimal place.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The stopping distance D of a car after the brakes have been applied is directly proportional to the square of the speed s. The stopping distance of
a car on dry asphalt is given by the function f(s) = 0.033s2, s 2 0, where s is measured in mi/h.
%3D
(a) Find the inverse function of f.
f-1(D)
D 2 0
(b) Interpret the inverse function.
The inverse function gives the
---Select---
O that a car was going for a
---Select---
O of D.
(c) If a car skids 46 ft on dry asphalt, how fast was it moving when the brakes were applied? (Round your answer to one decimal place.)
mi/hr
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