6 A particle is moving (in feet/second or ft/s) according to a function f(t). Find the following if f(t) = t²e-t (Show your work) (a) Velocity at time t (b) When is the particle at rest? (c) Acceleration at time 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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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6 A particle is moving (in feet/second or ft/s) according to a function f(t).
Find the following if f(t) = t²e-t
(Show your work)
(a) Velocity at time t
(b) When is the particle at rest?
(c) Acceleration at time t
(d) When the particle speeding up? When is it slowing down?
Transcribed Image Text:6 A particle is moving (in feet/second or ft/s) according to a function f(t). Find the following if f(t) = t²e-t (Show your work) (a) Velocity at time t (b) When is the particle at rest? (c) Acceleration at time t (d) When the particle speeding up? When is it slowing down?
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