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Mathematics
Problem
A particle’s velocity on the interval
−
4
≤
t
≤
4
-4\le t\le4
−
4
≤
t
≤
4
seconds is given by
v
(
t
)
=
2
−
∣
t
∣
v(t)=2-|t|
v
(
t
)
=
2
−
∣
t
∣
meters per second. At which of the following times does the particle change direction? a)
t
=
2
s
t=2\text{ s}
t
=
2
s
only b)
t
=
−
2
s
t=-2\text{ s}
t
=
−
2
s
and
t
=
2
s
t=2\text{ s}
t
=
2
s
c)
t
=
−
2
s
,
0
s
,
2
s
t=-2\text{ s},\,0\text{ s},\,2\text{ s}
t
=
−
2
s
,
0
s
,
2
s
d)
t
=
0
s
t=0\text{ s}
t
=
0
s
only
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