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Mathematics
Problem
A particle moves along a line with velocity
v
(
t
)
=
t
2
−
4
t
+
3
v(t)=t^{2}-4t+3
v
(
t
)
=
t
2
−
4
t
+
3
for
0
≤
t
≤
5
0\le t\le 5
0
≤
t
≤
5
. Over which interval(s) is the particle’s speed increasing? a)
(
2
,
5
)
(2,5)
(
2
,
5
)
b)
(
1
,
2
)
∪
(
3
,
5
)
(1,2)\cup(3,5)
(
1
,
2
)
∪
(
3
,
5
)
c)
(
0
,
1
)
∪
(
2
,
3
)
(0,1)\cup(2,3)
(
0
,
1
)
∪
(
2
,
3
)
d)
(
0
,
1
)
∪
(
3
,
5
)
(0,1)\cup(3,5)
(
0
,
1
)
∪
(
3
,
5
)
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