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Mathematics
Mathematics
Problem
The position of a particle for
0
≤
t
≤
5
0\le t\le5
0
≤
t
≤
5
is given by
r
(
t
)
=
⟨
t
3
−
6
t
2
+
9
t
,
4
t
−
t
2
⟩
\mathbf r(t)=\langle t^{3}-6t^{2}+9t,\,4t-t^{2}\rangle
r
(
t
)
=
⟨
t
3
−
6
t
2
+
9
t
,
4
t
−
t
2
⟩
. At what time in this interval is the particle at rest? a)
t
=
1
and
t
=
2
t=1\text{ and }t=2
t
=
1
and
t
=
2
b) There is no time in
[
0
,
5
]
[0,5]
[
0
,
5
]
at which the particle is at rest. c)
t
=
1
t=1
t
=
1
d)
t
=
2
t=2
t
=
2
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