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Class 11
>>
Physics
>>
Motion in a Straight Line
>>
Acceleration
Acceleration
Important Questions
A particle moves along a straight line such that its displacement at any time
t
is given by
s
=
t
3
−
6
t
2
+
3
t
+
4
metres. The velocity when the acceleration is zero is:-
Medium
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The position x of a particle with respect to time t along x-axis is given by
x
=
9
t
2
−
t
3
where x is in metres and t is in seconds. What will be the position of this particle when it achieves maximum speed along the + x direction?
Medium
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>
The relation between time t and distance x is
t
=
a
x
2
+
b
x
where a and b are constants.The acceleration is
Easy
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>
The position
x
of a particle varies with time as
x
=
a
t
2
−
b
t
3
. The acceleration of particle is zero at time
T
equal to
Medium
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>
The acceleration of a particle is increasing linearly with time
t
as
b
t
. The particle starts from the origin with an initial velocity
v
0
. The distance travelled by the particle in time
t
will be
Medium
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>
The position of a particle is given by
r
=
3
.
0
t
i
^
−
2
.
0
t
2
j
^
+
4
.
0
k
^
m
where t is in seconds and the coefficients have the proper units for
r
to be in metres(a) Find the
v
and
a
of the particle?
(b) What is the magnitude and direction of velocity of the particle at t = 2.0 s ?
Medium
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>
The
x
and
y
coordinates of the particle at any time are
x
=
5
t
−
2
t
2
and
y
=
1
0
t
respectively, where
x
and
y
are in meters and
t
in seconds. The acceleration of the particle at
t
=
2
s
is:
Medium
NEET
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>
A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is
Medium
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>
A particle starts from rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be:
Medium
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>
A particle moving, eastwards with a velocity of
5
m
/
s
. In
1
0
s
, its velocity changes to
5
m
/
s
northwards. The average acceleration in this time is
Medium
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>