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Byju's Answer
Standard IX
Physics
Third Equation of Motion
The accelerat...
Question
The acceleration of particle is given by a=(2-v)m/s× s where v is a velocity of particle in m/s The velocity of particle at time t(at t=0,v=0)i
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Q.
The initial velocity of a particle (at
t
=
0
) is
u
and the acceleration by
f
of particle at time
t
is given
f
=
a
t
. Where
a
is a constant which of the following relation for velocity
v
of particle after time
t
is correct?
Q.
The acceleration of a particle is
a
=
a
0
−
b
v
, where
v
is velocity at instant
t
. If the particle starts from rest at
t
=0, find the velocity of the particle as the function of time.
Q.
The acceleration
a
in
m
s
−
2
of a particle is given by
a
=
3
t
2
+
2
t
+
2
, where
t
is the time. If the particle starts out with a velocity
v
=
2
m
s
−
1
at
t
=
0
, then find the velocity at the end of
2
s
.
Q.
A particle travels so that its acceleration is given by
→
a
=
5
c
o
s
t
^
i
−
3
s
i
n
t
^
j
. If the particle is located at
(
−
3
,
2
)
at time
t
=
0
and is moving with a velocity given by
(
−
3
^
i
+
2
^
j
)
. Find
(i) the velocity
[
→
v
=
∫
→
a
.
d
t
]
t
i
m
e
t
(ii) the position vector
[
→
r
=
∫
→
v
.
d
t
]
of the particle at time
(
t
>
0
)
.
Q.
A particle is moving along the positive
x
-axis and at
t
=
0
, the particle is at
x
=
0
. The acceleration of the particle is a function of time. The acceleration at any time
t
is given by
a
=
2
(
1
–
[
t
]
)
where
[
t
]
is the greatest integer function. Assuming that the particle is at rest initially, the correct graph to show the variation of velocity versus time for the interval
0
<
t
<
4
s
is
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