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Mathematics
Mathematics
Problem
For
0
≤
t
≤
6
0\le t\le6
0
≤
t
≤
6
, a particle’s velocity is
v
(
t
)
=
(
t
−
1
)
2
(
t
−
4
)
v(t)=(t-1)^{2}(t-4)
v
(
t
)
=
(
t
−
1
)
2
(
t
−
4
)
m/s. Determine each time the particle is at rest and state whether the particle changes direction at that time.
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