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Mathematics
Mathematics
Problem
A damped mechanical oscillator moves with a velocity described by
v
(
t
)
=
10
e
−
0.5
t
sin
(
t
)
m/s
v(t) = 10 e^{-0.5t} \sin(t)\,\text{m/s}
v
(
t
)
=
10
e
−
0.5
t
sin
(
t
)
m/s
. Calculate the total displacement of the oscillator from
t
=
0
t = 0
t
=
0
to
t
=
π
t = \pi
t
=
π
seconds.
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