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Mathematics
Mathematics
Problem
A particle moves in the plane with velocity
v
(
t
)
=
⟨
t
2
−
4
,
2
t
⟩
\mathbf v(t)=\langle t^{2}-4,\, 2t\rangle
v
(
t
)
=
⟨
t
2
−
4
,
2
t
⟩
for
−
3
≤
t
≤
3
-3\le t\le 3
−
3
≤
t
≤
3
. For how many values of
t
t
t
in this interval is the particle’s speed neither increasing nor decreasing? a)
2
2
2
b)
4
4
4
c)
3
3
3
d)
1
1
1
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