Jack B. Nimble has a reputation for jumping over candle sticks. Just for kicks, do a new jump with some new tricks. His position will be given by the equatic s(t) = -t³ + 4t² – 2t where t is measured in seconds and s in meters. (a) Find Jack's velocity at time t. (b) What is his velocity after 3 s? (c) What is his acceleration at time t?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Jack B. Nimble has a reputation for jumping over candle sticks. Just for kicks, he is going to
do a new jump with some new tricks. His position will be given by the equation
s(t) = -t3 + 4t² – 2t
where t is measured in seconds and s in meters.
(a) Find Jack's velocity at time t.
(b) What is his velocity after 3 s?
(c) What is his acceleration at time t?
Transcribed Image Text:Jack B. Nimble has a reputation for jumping over candle sticks. Just for kicks, he is going to do a new jump with some new tricks. His position will be given by the equation s(t) = -t3 + 4t² – 2t where t is measured in seconds and s in meters. (a) Find Jack's velocity at time t. (b) What is his velocity after 3 s? (c) What is his acceleration at time t?
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