Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in meters) from his starting point after t seconds is given by f(t) = 2t³ – 17t + 48t - 15. a) At any time t, find his rate of acceleration. b) Find the time to if to is the first instance that he changed direction. c) At t= 1, determine if Sheldon is speeding up or slowing down.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance
(in meters) from his starting point after t seconds is given by f(t) = 2t³ – 17t2 + 48t - 15.
%3D
(a) At any time t, find his rate of acceleration.
(b) Find the time to if to is the first instance that he changed direction.
(c) At t = 1, determine if Sheldon is speeding up or slowing down.
Transcribed Image Text:Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in meters) from his starting point after t seconds is given by f(t) = 2t³ – 17t2 + 48t - 15. %3D (a) At any time t, find his rate of acceleration. (b) Find the time to if to is the first instance that he changed direction. (c) At t = 1, determine if Sheldon is speeding up or slowing down.
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