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Past exam of the mathematics course of the University of Cambridge
/
2022
/
ia
/
Paper 4
/
12C
/
b
/
ii
/
Solution
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2022
ia
Paper 4
12C
b
ii
Created
2026-09-24
Updated
2026-09-25
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To
first
order in
V
/
c
,
γ
=
1
+
O
(
V
2
/
c
2
)
and
1
−
V
u
x
/
c
2
1
=
1
+
c
2
V
u
x
+
O
(
V
2
/
c
2
)
.
(1)
Thus
u
x
′
=
u
x
−
V
+
c
2
V
u
x
2
+
O
(
V
2
/
c
2
)
,
u
y
′
=
u
y
+
c
2
V
u
x
u
y
+
O
(
V
2
/
c
2
)
.
(2)
Since
V
=
(
V
,
0
,
0
)
and
V
⋅
u
=
V
u
x
, these components combine into
u
′
=
u
−
V
+
c
2
V
⋅
u
u
+
O
(
V
2
/
c
2
)
.
(3)
Ancestors
(12)
ii
b
12C
Paper 4
ia
2022
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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