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.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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