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Mathematics
Mathematics
Problem
The velocity of a particle is
v
(
t
)
=
⟨
sin
t
,
0
,
e
t
⟩
\mathbf v(t)=\langle \sin t,0,e^{t}\rangle
v
(
t
)
=
⟨
sin
t
,
0
,
e
t
⟩
. If the particle’s position at
t
=
0
t=0
t
=
0
is
r
(
0
)
=
⟨
0
,
1
,
2
⟩
\mathbf r(0)=\langle 0,1,2\rangle
r
(
0
)
=
⟨
0
,
1
,
2
⟩
, evaluate the position vector
r
(
2
)
\mathbf r(2)
r
(
2
)
.
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