Let s(t) v(t) = = 4t³ + 42t² + 144t be the equation of motion for a particle. Find a function for the velocity. Where does the velocity equal zero? [Hint: factor out the GCF.] t = and t = = Find a function for the acceleration of the particle. a(t) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 4E
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Let s(t)
v(t)
=
=
4t³ + 42t² + 144t be the equation of motion for a particle. Find a function for the velocity.
Where does the velocity equal zero? [Hint: factor out the GCF.]
t =
and t =
=
Find a function for the acceleration of the particle.
a(t) =
Transcribed Image Text:Let s(t) v(t) = = 4t³ + 42t² + 144t be the equation of motion for a particle. Find a function for the velocity. Where does the velocity equal zero? [Hint: factor out the GCF.] t = and t = = Find a function for the acceleration of the particle. a(t) =
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