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Mathematics
Mathematics
Problem
A particle travels from
(
0
,
0
)
(0,0)
(
0
,
0
)
to
(
2
,
0
)
(2,0)
(
2
,
0
)
along the
x
x
x
-axis, then follows the quarter-circle defined by
x
2
+
y
2
=
4
x^{2}+y^{2}=4
x
2
+
y
2
=
4
with
y
≥
0
y\ge 0
y
≥
0
until it reaches
(
0
,
2
)
(0,2)
(
0
,
2
)
. Determine the total distance traveled by the particle.
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