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Mathematics
Mathematics
Problem
A particle moves in the plane with position vector
r
(
t
)
=
⟨
t
,
t
2
/
2
⟩
\mathbf r(t)=\langle t,\,t^{2}/2\rangle
r
(
t
)
=
⟨
t
,
t
2
/2
⟩
(meters) for
0
≤
t
≤
2
0\le t\le 2
0
≤
t
≤
2
seconds. Compute the particle’s average speed on this time interval. Express your answer exactly.
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