Suppose that the position of a particle is given by s = f(t) = 4t³ + 2t +9. (a) Find the velocity at time t. v(t) = (b) Find the velocity at time t = 3 seconds. m S m S (c) Find the acceleration at time t. a(t) = (d) Find the acceleration at time t = 3 seconds. m s² m 8²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Suppose that the position of a particle is given by s = f(t) = 4t³ + 2t +9.
(a) Find the velocity at time t.
v(t) =
(b) Find the velocity at time t = 3 seconds.
m
S
m
S
(c) Find the acceleration at time t.
a(t) =
(d) Find the acceleration at time t = 3 seconds.
m
s²
m
8²
Transcribed Image Text:Suppose that the position of a particle is given by s = f(t) = 4t³ + 2t +9. (a) Find the velocity at time t. v(t) = (b) Find the velocity at time t = 3 seconds. m S m S (c) Find the acceleration at time t. a(t) = (d) Find the acceleration at time t = 3 seconds. m s² m 8²
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