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Mathematics
Problem
A particle moves with velocity
v
(
t
)
=
sin
(
π
t
4
)
v(t)=\sin\!\left(\dfrac{\pi t}{4}\right)
v
(
t
)
=
sin
(
4
π
t
)
m/s for
0
≤
t
≤
8
0\le t\le8
0
≤
t
≤
8
. Identify all time(s) within this interval at which the particle changes direction.
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