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Mathematics
Problem
A particle’s position is described by
r
(
t
)
=
⟨
e
2
t
,
t
2
⟩
\mathbf r(t)=\langle e^{2t},\,t^{2}\rangle
r
(
t
)
=
⟨
e
2
t
,
t
2
⟩
. What is the magnitude of its acceleration vector at
t
=
0
t=0
t
=
0
? a)
6
6
6
b)
4
4
4
c)
2
5
2\sqrt{5}
2
5
d)
5
\sqrt{5}
5
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