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Mathematics
Problem
A particle moves in the plane with velocity
v
(
t
)
=
⟨
2
t
,
3
⟩
\mathbf v(t)=\langle 2t,3\rangle
v
(
t
)
=
⟨
2
t
,
3
⟩
meters per second for
0
≤
t
≤
2
0\le t\le2
0
≤
t
≤
2
. What is the total distance the particle travels during this time? a)
2
13
2\sqrt{13}
2
13
b)
5
+
9
2
ln
3
5+\dfrac{9}{2}\ln 3
5
+
2
9
ln
3
c)
5
+
9
4
ln
3
5+\dfrac{9}{4}\ln 3
5
+
4
9
ln
3
d)
49
6
\dfrac{49}{6}
6
49
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