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Mathematics
Mathematics
Problem
A particle moves according to
r
(
t
)
=
⟨
2
t
,
3
−
t
2
,
t
⟩
\mathbf r(t)=\langle 2t,\,3-t^{2},\,t\rangle
r
(
t
)
=
⟨
2
t
,
3
−
t
2
,
t
⟩
. Determine all real values of
t
t
t
for which the velocity vector is orthogonal to the position vector.
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