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Motion in a Straight Line
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Acceleration
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The initial velocity of a particle is u
Question
The initial velocity of a particle is
u
(
a
t
t
=
0
)
and the acceleration is given by
f
=
a
t
. Which of the following relations is valid?
A
v
=
u
+
a
t
2
B
v
=
u
+
2
a
t
2
C
v
=
u
+
a
t
D
v
=
u
Medium
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Solution
Verified by Toppr
Correct option is B)
As
f
=
a
t
⇒
d
t
d
v
=
a
t
⇒
∫
u
v
d
v
=
∫
0
t
a
t
d
t
⇒
v
−
u
=
2
a
t
2
⇒
v
=
u
+
2
1
a
t
2
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