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Mathematics
Problem
A particle moves frictionlessly along a horizontal line so that its acceleration satisfies
a
=
−
4
x
a=-4x
a
=
−
4
x
, where
x
x
x
is its displacement in meters. When the particle is at
x
=
3
x=3
x
=
3
m, its speed is
2
2
2
m/s. Determine its speed when it reaches
x
=
1
x=1
x
=
1
m.
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