The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(1) = 912 – 271, t>0 (a) Find the velocity and acceleration functions. v(t): a(t): (b) Over what interval is the particle moving in the positive direction? Use inf to represent oo. Interval: (c) Over what interval is the particle moving in the negative direction? Use inf to represent oo. Interval: (d) Over what interval is the particle speeding up? Slowing down? Use inf to represent co. Speeding up: Slowing down: Note: You can earn partial credit on this problem.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 33PQ: Figure P2.33 shows the y-position (in blue) of a particle versus time. a. What is the average...
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E The function s(t) describes the position
of a particle moving along a coordinate line,
where s is in feet and t is in seconds.
s(t) = 9t2 – 27t,
t > 0
(a) Find the velocity and acceleration functions.
v(t):
a(t):
(b) Over what interval is the particle moving in
the positive direction? Use inf to represent o.
Interval:
(c) Over what interval is the particle moving in
the negative direction? Use inf to represent oo.
Interval:
(d) Over what interval is the particle speeding
up? Slowing down? Use inf to represent co.
Speeding up:
Slowing down:
Note: You can earn partial credit on this
problem.
Transcribed Image Text:E The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = 9t2 – 27t, t > 0 (a) Find the velocity and acceleration functions. v(t): a(t): (b) Over what interval is the particle moving in the positive direction? Use inf to represent o. Interval: (c) Over what interval is the particle moving in the negative direction? Use inf to represent oo. Interval: (d) Over what interval is the particle speeding up? Slowing down? Use inf to represent co. Speeding up: Slowing down: Note: You can earn partial credit on this problem.
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