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Mathematics
Mathematics
Problem
An object in simple harmonic motion has acceleration
a
(
t
)
=
−
2.0
sin
(
4
π
t
)
a(t)= -2.0\sin(4\pi t)
a
(
t
)
=
−
2.0
sin
(
4
π
t
)
\,(m/s
2
^2
2
). At
t
=
0
t=0
t
=
0
the displacement is zero and increasing. Determine the earliest time
t
>
0
t>0
t
>
0
(in seconds) at which the displacement reaches its first maximum positive value.
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