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Mathematics
Mathematics
Problem
The position of a particle in the plane is given by
r
(
t
)
=
⟨
3
t
,
t
2
⟩
\mathbf r(t)=\langle 3t,\,t^{2}\rangle
r
(
t
)
=
⟨
3
t
,
t
2
⟩
for
t
≥
0
t\ge 0
t
≥
0
. Determine all times
t
t
t
when the velocity and acceleration vectors are perpendicular.
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