The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t³ - 3t² - (a) Find the velocity and acceleration functions. v(t) = 61²- a(t) = 12t6 - 6t-36 speeding up - 36t+ 4 for t≥ 0 (b) Determine the time intervals when the object is slowing down or speeding up. (Enter your answers using interval notation.) slowing down || X X
The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t³ - 3t² - (a) Find the velocity and acceleration functions. v(t) = 61²- a(t) = 12t6 - 6t-36 speeding up - 36t+ 4 for t≥ 0 (b) Determine the time intervals when the object is slowing down or speeding up. (Enter your answers using interval notation.) slowing down || X X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The given function represents the position of a particle traveling along a horizontal line.
s(t) = 2t³ - 3t² − 36t + 4 for t ≥ 0
(a) Find the velocity and acceleration functions.
6t² - 6t - 36
v(t)
=
a(t) =
12t - 6
(b) Determine the time intervals when the object is slowing down or speeding up. (Enter your answers using interval notation.)
slowing down
speeding up
|
X
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