Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by the following function -t³ + 14t² + 18t (0 ≤ t ≤ 6) Find a general expression for the car's acceleration (in ft/sec³) at any time t (0 ≤ t ≤ 6). s"(t) = -31²+28t+18 S = -t X At what time t (in sec) does the car begin to decelerate? (Round your answer to one decimal place.) t = 18 X sec

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by the following function.
−t³ + 14t² + 18t
(0 ≤ t ≤ 6)
Find a general expression for the car's acceleration (in ft/sec³) at any time t (0 ≤ t ≤ 6).
−3+²+28t+18
s"(t):
=
S =
At what time t (in sec) does the car begin to decelerate? (Round your answer to one decimal place.)
t = 18
X sec
Transcribed Image Text:Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by the following function. −t³ + 14t² + 18t (0 ≤ t ≤ 6) Find a general expression for the car's acceleration (in ft/sec³) at any time t (0 ≤ t ≤ 6). −3+²+28t+18 s"(t): = S = At what time t (in sec) does the car begin to decelerate? (Round your answer to one decimal place.) t = 18 X sec
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