Let s(t)= v(t) == 6+3 + 45t² + 108t 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)
-
6t³ + 45t² + 108t 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) - 6t³ + 45t² + 108t 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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