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Standard XII
Physics
Differentiation
If the veloci...
Question
If the velocity of a particle varies as v = 4t, find its displacement in first three seconds.
A
9 m
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B
18 m
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C
2 m
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D
12 m
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Solution
The correct option is
B
18 m
v
=
d
s
d
t
d
s
=
v
d
t
=
4
t
d
t
s
=
∫
3
0
d
s
=
∫
3
0
4
t
d
t
=
[
4.
t
2
2
]
3
0
=
[
2
t
2
]
3
0
=
2
(
9
−
0
)
=
18
m
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