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Mathematics
Mathematics
Problem
Let
r
(
t
)
=
⟨
t
,
t
2
,
2
⟩
r(t)=\langle t,\,t^{2},\,2\rangle
r
(
t
)
=
⟨
t
,
t
2
,
2
⟩
for
−
2
≤
t
≤
2
-2\le t\le 2
−
2
≤
t
≤
2
. For which value(s) of
t
t
t
in this interval is the velocity vector orthogonal to the position vector? a)
t
=
0
t=0
t
=
0
only b)
t
=
0
and
t
=
−
1
2
t=0\text{ and }t=-\dfrac{1}{2}
t
=
0
and
t
=
−
2
1
c) No real value of
t
t
t
d)
t
=
−
2
,
0
,
2
t=-2,\,0,\,2
t
=
−
2
,
0
,
2
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