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Mathematics
Mathematics
Problem
A particle moves with velocity
v
(
t
)
=
⟨
cos
t
,
−
2
sin
t
⟩
v(t)=\langle \cos t,\,-2\sin t\rangle
v
(
t
)
=
⟨
cos
t
,
−
2
sin
t
⟩
for
0
≤
t
≤
π
0\le t\le \pi
0
≤
t
≤
π
. Calculate the maximum speed attained by the particle on this interval.
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