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) = t³ — 14t² + 49t +4, (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 ∞, and U for the union of sets. Interval: t> 0 (c) Over what interval(s) is the particle moving in the negative direction? Use inf to represent ∞, 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: (e) Over what interval(s) does the particle have negative acceleration? Use inf to represent ∞o, 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) = t³ — 14t² + 49t +4, (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 ∞, and U for the union of sets. Interval: t> 0 (c) Over what interval(s) is the particle moving in the negative direction? Use inf to represent ∞, 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: (e) Over what interval(s) does the particle have negative acceleration? Use inf to represent ∞o, and U for the union of sets. Interval:
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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This is the same question but I could not fit it into to one photo thank you. Derivatives Rate of Change
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) = t³ — 14t² + 49t + 4,
(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 ∞, and U for the
union of sets.
Interval:
t> 0
(c) Over what interval(s) is the particle moving in the
negative direction? Use inf to represent ∞o, and U for the
union of sets.
Interval:
(d) Over what interval(s) does the particle have positive
acceleration? Use inf to represent ∞o, and U for the union
of sets.
Interval:
(e) Over what interval(s) does the particle have negative
acceleration? Use inf to represent ∞, and U for the union
of sets.
Interval:
Transcribed Image Text:(d) Over what interval(s) does the particle have positive
acceleration? Use inf to represent ∞, and U for the union
of sets.
Interval:
(e) Over what interval(s) does the particle have negative
acceleration? Use inf to represent ∞, and U for the union
of sets.
Interval:
(f) Over what interval is the particle speeding up? Slowing
down? Use inf to represent ∞, and U for the union of sets.
Speeding up:
Slowing down:
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