points that correspond to the functions s(t), v(t), and a(t) to any point on the curves that match them. Each of your selected curves should have the color that corresponds to your chosen function: orange for s(t), blue for v(t), and green for a(t). Provide your answer below: s(t) a(t) -10 v(t) -5 I 104 --5- -10 5 10 t

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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Question
Three curves that describe the motion of a particle
along a coordinate axis at time t (in seconds) are
shown below. They are polynomial functions related
to each other through differentiation of the position
function s(t) (which has units of meters). Drag the
points that correspond to the functions s(t), v(t),
and a(t) to any point on the curves that match them.
Each of your selected curves should have the color
that corresponds to your chosen function: orange
for s(t), blue for v(t), and green for a(t).
Provide your answer below:
__s(t)
a(t)
-10
v(t)
-5
T
104
-5
-10
5
10
t
Transcribed Image Text:Three curves that describe the motion of a particle along a coordinate axis at time t (in seconds) are shown below. They are polynomial functions related to each other through differentiation of the position function s(t) (which has units of meters). Drag the points that correspond to the functions s(t), v(t), and a(t) to any point on the curves that match them. Each of your selected curves should have the color that corresponds to your chosen function: orange for s(t), blue for v(t), and green for a(t). Provide your answer below: __s(t) a(t) -10 v(t) -5 T 104 -5 -10 5 10 t
Expert Solution
Step 1

We will use relation between a function its 1st derivative and 2nd derivative to identify which curve represents f(x) , f'(x) and f''(x) . 

As s'(t) = v(t) and a(t) = v'(t) = s''(t)

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