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) =
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
Related questions
Question
![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) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16b88384-b27c-4aea-b4d5-cecb5406683e%2F1238a928-4ef0-4d6c-8220-50680ca831b4%2F3farl4x_processed.jpeg&w=3840&q=75)
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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