Physics-
General
Easy
Question
A particle starts from rest. Its acceleration
time
is as shown in the figure. The maximum speed of the particle will be

The correct answer is: 
Area under acceleration-time graph gives the change in velocity. Hence,

Therefore, the correct option is [b].
Related Questions to study
physics-
In figure, one car at rest and velocity of the light from head light is
, tehn velocity of light from head light for the moving car at velocity
, would be
Since
(negligible)
In figure, one car at rest and velocity of the light from head light is
, tehn velocity of light from head light for the moving car at velocity
, would be
physics-General
Since
(negligible)
maths-
If α and β are two different solutions lying between
and of the equation
then Tan α + Tan β is
If α and β are two different solutions lying between
and of the equation
then Tan α + Tan β is
maths-General
physics-
A particle of mass
is initially situated at the point
inside a hemispherical surface of radius
as shown in figure. A horizontal acceleration of magnitude
is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is

Let the particle touches the sphere t the point 
Let

In


or



Let
In

or
A particle of mass
is initially situated at the point
inside a hemispherical surface of radius
as shown in figure. A horizontal acceleration of magnitude
is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is

physics-General
Let the particle touches the sphere t the point 
Let

In


or



Let
In

or
physics-
A cyclist starts from the centre
of a circular park of radius 1 km, reaches the edge
of the park, then cycles along the circumference and returns to the point
as shown in figure. If the round trip takes 10 min, the net displacement and average speed of the cyclist (in metre and kilometer per hour) are

Since, the initial position of cyclist coincides with final position, so his net displacement is zero.




A cyclist starts from the centre
of a circular park of radius 1 km, reaches the edge
of the park, then cycles along the circumference and returns to the point
as shown in figure. If the round trip takes 10 min, the net displacement and average speed of the cyclist (in metre and kilometer per hour) are

physics-General
Since, the initial position of cyclist coincides with final position, so his net displacement is zero.




physics-
A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by
and
respectively Then

Distance travelled by motor bike at
s
(18)(60)=540 m
Distance travelled by car at
s
=(18)(60)=720 m
Therefore, separation between them at
s is 180m. Let, separation between them decreases to zero at time
beyond 18s.
Hence,
and 


s beyond 18s or
Hence,
s=27s from start and distant travelled by both is
=
m
Distance travelled by car at
Therefore, separation between them at
Hence,
Hence,
A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by
and
respectively Then

physics-General
Distance travelled by motor bike at
s
(18)(60)=540 m
Distance travelled by car at
s
=(18)(60)=720 m
Therefore, separation between them at
s is 180m. Let, separation between them decreases to zero at time
beyond 18s.
Hence,
and 


s beyond 18s or
Hence,
s=27s from start and distant travelled by both is
=
m
Distance travelled by car at
Therefore, separation between them at
Hence,
Hence,
physics-
Assertion : Owls can move freely during night.
Reason : They have large number of rods on their retina.
Owls can move freely during night, because they have large number of cones on their retina which help them to see in night.
Assertion : Owls can move freely during night.
Reason : They have large number of rods on their retina.
physics-General
Owls can move freely during night, because they have large number of cones on their retina which help them to see in night.
physics-
A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

Instantaneous velocity is given by the slope of the curve at that instant
from the figure it is clear that slope of the curve is maximum at point ‘
’
A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point

physics-General
Instantaneous velocity is given by the slope of the curve at that instant
from the figure it is clear that slope of the curve is maximum at point ‘
’
Maths-
The area bounded by y=3x and
is
The area bounded by y=3x and
is
Maths-General
Maths-
The area bounded by
X- axis, x=1 and x=2 is
The area bounded by
X- axis, x=1 and x=2 is
Maths-General
maths-
If
then
=
If
then
=
maths-General
physics-
The
graph shown in the figure represents

Up to time
slope of the graph is constant and after
slope is zero
the body travel with constant speed up to time
and then stops
The
graph shown in the figure represents

physics-General
Up to time
slope of the graph is constant and after
slope is zero
the body travel with constant speed up to time
and then stops
physics-
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds

For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds

physics-General
physics-
A particle starts from rest at
and undergoes an acceleration
in
with time
in second which is as shownWhich one of the following plot represents velocity
in
time
in second?

A particle starts from rest at 
The equation of motion

The velocity for next 2 s




Hence,
graph will be as shown.

The equation of motion
The velocity for next 2 s

Hence,

A particle starts from rest at
and undergoes an acceleration
in
with time
in second which is as shownWhich one of the following plot represents velocity
in
time
in second?

physics-General
A particle starts from rest at 
The equation of motion

The velocity for next 2 s




Hence,
graph will be as shown.

The equation of motion
The velocity for next 2 s

Hence,

physics-
A body is at rest at
. At
, it starts moving in the positive
-direction with a constant acceleration. At the same instant another body passes through
moving in the positive
-direction with a constant speed. The position of the first body is given by
after time ‘
’ and that of the second body by
after the same time interval. Which of the following graphs correctly describes
as a function of time ‘
’
As
A body is at rest at
. At
, it starts moving in the positive
-direction with a constant acceleration. At the same instant another body passes through
moving in the positive
-direction with a constant speed. The position of the first body is given by
after time ‘
’ and that of the second body by
after the same time interval. Which of the following graphs correctly describes
as a function of time ‘
’
physics-General
As
maths-
General solution of is
General solution of is
maths-General