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Byju's Answer
Standard XII
Physics
Relating Circular Motion to SHM
the velocity ...
Question
the velocity (v) of a body moving along positive x-direction varies with displacement (x) as v=krootx, where k is a constant . Determine how (v) varies with time (t) . Also , find the variation of x and t.
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Solution
Dear Student,
h
e
r
e
g
i
v
e
n
v
=
k
x
-
-
-
-
-
1
o
r
v
2
=
k
2
x
d
i
f
f
e
r
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n
t
i
a
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w
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t
h
r
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c
t
t
o
x
w
e
g
e
t
2
v
d
v
d
x
=
k
2
o
r
2
v
d
v
=
k
2
d
x
d
t
d
t
=
k
2
v
d
t
∫
0
v
2
d
v
=
∫
0
t
k
2
d
t
v
=
k
2
t
/
2
f
r
o
m
e
q
u
a
t
i
o
n
1
d
x
d
t
=
k
x
∫
0
x
d
x
x
=
∫
0
t
k
d
t
-
2
x
=
k
t
x
=
k
2
t
2
4
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