The function 11 t² +24t + 5, 2 1 s(t) = - t> 0 describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. Find the corresponding velocity and acceleration functions. At what time(s) is the particle stopped? At what time(s) is the acceleration of the particle equal to zero? When is the particle speeding up? When is it slowing down? a. b. C. d. You must show your work.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can you solve part d, please. Thank you. 

The function
s(t) = -.
11
t² +24t + 5,
2
t> 0
describes the position of a particle moving along a coordinate line, where s is in feet and
t is in seconds.
Find the corresponding velocity and acceleration functions.
At what time(s) is the particle stopped?
At what time(s) is the acceleration of the particle equal to zero?
When is the particle speeding up? When is it slowing down?
a.
b.
C.
d.
You must show your work.
Transcribed Image Text:The function s(t) = -. 11 t² +24t + 5, 2 t> 0 describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. Find the corresponding velocity and acceleration functions. At what time(s) is the particle stopped? At what time(s) is the acceleration of the particle equal to zero? When is the particle speeding up? When is it slowing down? a. b. C. d. You must show your work.
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