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Mathematics
Mathematics
Problem
The position of a particle is
s
(
t
)
=
t
3
−
6
t
2
+
9
t
s(t)=t^{3}-6t^{2}+9t
s
(
t
)
=
t
3
−
6
t
2
+
9
t
meters for
t
≥
0
t\ge 0
t
≥
0
. On which of the following intervals is the particle’s speed decreasing? a)
(
1
,
2
)
∪
(
3
,
∞
)
(1,2)\cup(3,\infty)
(
1
,
2
)
∪
(
3
,
∞
)
b)
(
0
,
2
)
(0,2)
(
0
,
2
)
c)
(
0
,
1
)
∪
(
2
,
3
)
(0,1)\cup(2,3)
(
0
,
1
)
∪
(
2
,
3
)
d)
(
1
,
2
)
∪
(
2
,
3
)
(1,2)\cup(2,3)
(
1
,
2
)
∪
(
2
,
3
)
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