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Mathematics
Mathematics
Problem
A particle has position vector
r
(
t
)
=
⟨
t
2
−
3
t
,
4
sin
t
⟩
\mathbf r(t)=\langle t^{2}-3t,\;4\sin t\rangle
r
(
t
)
=
⟨
t
2
−
3
t
,
4
sin
t
⟩
meters. Calculate its velocity vector at
t
=
3
t=3
t
=
3
seconds.
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