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) = t – 10t? + 25t + 6, t 2 0 (a) Find the velocity and acceleration functions. v(t): a(t): (b) Over what interval(s) is the particle moving in the positive direction? Use inf to represent o, and U for the union of sets. Interval: (c) Over what interval(s) is the particle moving in the negative direction? Use inf to represent co, and U for the union of sets. Interval:
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) = t – 10t? + 25t + 6, t 2 0 (a) Find the velocity and acceleration functions. v(t): a(t): (b) Over what interval(s) is the particle moving in the positive direction? Use inf to represent o, and U for the union of sets. Interval: (c) Over what interval(s) is the particle moving in the negative direction? Use inf to represent co, and U for the union of sets. Interval:
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text: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) = t – 10t? + 25t + 6,
t > 0
(a) Find the velocity and acceleration functions.
v(t):
a(t):
(b) Over what interval(s) is the particle moving in
the positive direction? Use inf to represent co,
and U for the union of sets.
Interval:
(c) Over what interval(s) is the particle moving in
the negative direction? Use inf to represent oo,
and U for the union of sets.
Interval:
(d) Over what interval(s) does the particle have
positive acceleration? Use inf to represent ∞,
and U for the union of sets.
Interval:
Transcribed Image Text:(e) Over what interval(s) does the particle have
negative acceleration? Use inf to represent co,
and U for the union of sets.
Interval:
(f) Over what interval is the particle speeding
up? Slowing down? Use inf to represent co, and
U for the union of sets.
Speeding up:
Slowing down:
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