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Mathematics
Mathematics
Problem
A particle moves according to the following parametric descriptions. Segment 1
(
0
≤
t
≤
1
)
:
x
=
2
t
,
y
=
3
t
(0 \le t \le 1): \; x = 2t, \; y = 3t
(
0
≤
t
≤
1
)
:
x
=
2
t
,
y
=
3
t
Segment 2
(
1
≤
t
≤
2
)
:
x
=
2
,
y
=
3
+
4
(
t
−
1
)
(1 \le t \le 2): \; x = 2, \; y = 3 + 4(t-1)
(
1
≤
t
≤
2
)
:
x
=
2
,
y
=
3
+
4
(
t
−
1
)
Calculate the total distance the particle travels from
t
=
0
t = 0
t
=
0
to
t
=
2
t = 2
t
=
2
.
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