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Mathematics
Mathematics
Problem
A particle moves with velocity
v
(
t
)
=
⟨
−
sin
t
,
cos
t
⟩
\mathbf v(t)=\langle -\sin t,\,\cos t\rangle
v
(
t
)
=
⟨
−
sin
t
,
cos
t
⟩
for
0
≤
t
≤
π
0\le t\le \pi
0
≤
t
≤
π
. What is the total distance the particle travels during this time? a)
2
π
2\pi
2
π
b)
π
\pi
π
c)
2
2
2
d)
2
π
\sqrt{2}\,\pi
2
π
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