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Byju's Answer
Standard XII
Physics
Relating Circular Motion to SHM
A particle mo...
Question
A particle moving along x axis has acceleration f, at t time. Given
f=F(1-t/T) where F and T are constants. The particle at t=0 has zero velocity. When f=0 the possible velocity is
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Solution
d
e
a
r
s
t
u
d
e
n
t
g
i
v
e
n
t
h
a
t
f
=
F
(
1
-
t
T
)
a
n
d
a
=
d
v
d
t
=
f
d
v
d
t
=
F
-
F
t
T
o
n
i
n
t
e
g
r
a
t
i
n
g
v
=
F
t
-
F
t
2
2
T
+
c
g
i
v
e
n
t
h
a
t
a
t
t
=
0
,
v
=
0
t
h
i
s
g
i
v
e
s
c
=
0
s
o
,
v
=
F
t
-
F
t
2
2
T
n
o
w
a
t
f
=
0
,
f
=
F
(
1
-
t
T
)
g
i
v
e
s
t
=
T
t
h
e
n
f
r
o
m
v
=
F
t
-
F
t
2
2
T
;
a
n
d
t
=
T
w
e
g
e
t
v
=
F
T
/
2
R
e
g
a
r
d
s
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