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Mathematics
Mathematics
Problem
A particle moving along the
x
x
x
-axis has velocity
v
(
t
)
=
{
3
0
≤
t
<
2
−
2
2
≤
t
≤
5
v(t)=\begin{cases} 3 & 0\le t<2 \\ -2 & 2\le t\le 5 \end{cases}
v
(
t
)
=
{
3
−
2
0
≤
t
<
2
2
≤
t
≤
5
, where
v
v
v
is measured in meters per second and
t
t
t
in seconds. If the particle’s position is
s
(
0
)
=
1
m
s(0)=1\text{ m}
s
(
0
)
=
1
m
, determine its displacement from
t
=
0
t=0
t
=
0
to
t
=
5
t=5
t
=
5
.
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