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Mathematics
Mathematics
Problem
A particle moves along a line with velocity
v
(
t
)
=
t
3
−
6
t
2
+
9
t
−
4
v(t)=t^{3}-6t^{2}+9t-4
v
(
t
)
=
t
3
−
6
t
2
+
9
t
−
4
meters per second for
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
. Which ordered pair gives the net displacement and the total distance traveled, respectively, on this interval? a)
(
8
,
8
)
(8,\,8)
(
8
,
8
)
b)
(
−
4
,
8
)
(-4,\,8)
(
−
4
,
8
)
c)
(
−
8
,
8
)
(-8,\,8)
(
−
8
,
8
)
d)
(
−
8
,
12
)
(-8,\,12)
(
−
8
,
12
)
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