3. A particle moves along a coordinate axis. Its position at time t (sec) is s(1) = [ f(x)dx graph of f is shown below as line segments and a semicircle. a) What is the particle's position at t 0? b) What is the particle's position at t = 3? c) What is the particle's speed at t= 4? d) Approximately when is the acceleration of the particle positive? Justify your answer. e) At what time during the 1" 7 seconds does s have its smallest value? Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. A partiçle moves along a coordinate axis. Its position at time ↑ (sec) is s(1) = [ f(x)dx
graph of ƒ is shown below as line segments and a semicircle.
a) What is the particle's position at 1 =0?
b) What is the particle's position at t =3?
c) What is the particle's speed at t =4?
d) Approximately when is the acceleration of the particle positive? Justify your answer.
e) At what time during the 1" 7 seconds does s have its smallest value? Justify your answer.
Transcribed Image Text:3. A partiçle moves along a coordinate axis. Its position at time ↑ (sec) is s(1) = [ f(x)dx graph of ƒ is shown below as line segments and a semicircle. a) What is the particle's position at 1 =0? b) What is the particle's position at t =3? c) What is the particle's speed at t =4? d) Approximately when is the acceleration of the particle positive? Justify your answer. e) At what time during the 1" 7 seconds does s have its smallest value? Justify your answer.
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