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Mathematics
Problem
Two particles move in the plane for
0
≤
t
≤
2
0\le t\le 2
0
≤
t
≤
2
(seconds) with velocities
v
A
(
t
)
=
⟨
t
,
3
−
2
t
⟩
,
v
B
(
t
)
=
⟨
2
−
t
,
t
⟩
.
v_A(t)=\langle t,\,3-2t\rangle,\qquad v_B(t)=\langle 2-t,\,t\rangle.
v
A
(
t
)
=
⟨
t
,
3
−
2
t
⟩
,
v
B
(
t
)
=
⟨
2
−
t
,
t
⟩
.
Identify which particle attains the larger maximum speed on this interval and state that maximum speed.
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