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Mathematics
Problem
A particle’s velocity is
v
(
t
)
=
t
(
t
−
3
)
2
v(t)=t(t-3)^{2}
v
(
t
)
=
t
(
t
−
3
)
2
meters per second for
−
1
≤
t
≤
6
-1\le t\le 6
−
1
≤
t
≤
6
. At which time(s) in this interval does the particle change direction? a)
t
=
3
t=3
t
=
3
only b)
t
=
0
t=0
t
=
0
only c)
t
=
0
and
t
=
3
t=0\text{ and }t=3
t
=
0
and
t
=
3
d)
t
=
1
and
t
=
3
t=1\text{ and }t=3
t
=
1
and
t
=
3
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