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Standard XII
Physics
Question
The mean value of velocity vector projection average over
3
/
8
th of a period after the start is
2
√
2
A
ω
π
2
A
ω
3
√
2
π
A
ω
3
π
2
√
2
A
ω
3
π
A
2
√
2
A
ω
π
B
2
A
ω
3
√
2
π
C
2
√
2
A
ω
3
π
D
A
ω
3
π
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Solution
Verified by Toppr
x
=
A
s
i
n
ω
t
V
=
d
x
d
t
=
A
ω
c
o
s
ω
t
3
T
8
0
∫
V
d
t
3
T
8
0
∫
d
t
=
A
ω
ω
×
[
s
i
n
ω
t
]
3
T
8
0
[
t
]
3
T
8
0
A
×
[
S
i
n
(
2
π
T
×
3
T
84
)
−
S
i
n
0
]
3
T
8
=
A
×
1
√
2
3
T
8
=
2
√
2
A
ω
3
π
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