Physics-
General
Easy
Question
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?

The correct answer is: 
A particle starts from rest at 
The equation of motion

The velocity for next 2 s




Hence,
graph will be as shown.

Related Questions to study
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
physics-
In the following graph, distance travelled by the body in metres is

Distance = Area covered between velocity and time axis

In the following graph, distance travelled by the body in metres is

physics-General
Distance = Area covered between velocity and time axis

physics-
Velocity-time
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is

Between time interval 20s the 4s, there is non-zero acceleration and retardation. Hence, distance travelled during this interval = Area between time interval 20 s to 40 s

Velocity-time
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is

physics-General
Between time interval 20s the 4s, there is non-zero acceleration and retardation. Hence, distance travelled during this interval = Area between time interval 20 s to 40 s

Maths-
The value of k such that
lies in the plane 2x-4y+z+7=0 is
The value of k such that
lies in the plane 2x-4y+z+7=0 is
Maths-General
maths-
The distance between the line
and the plane
is (units)
The distance between the line
and the plane
is (units)
maths-General
maths-
The number of solutions of the equation
where
for
in the interval
is
The number of solutions of the equation
where
for
in the interval
is
maths-General
physics-
The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body?

Think of the lope of the given displacement-time graph at different points and you would arrive at the correct answer.
Alternatively, look at the self-illustrative figure.

Alternatively, look at the self-illustrative figure.

The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body?

physics-General
Think of the lope of the given displacement-time graph at different points and you would arrive at the correct answer.
Alternatively, look at the self-illustrative figure.

Alternatively, look at the self-illustrative figure.

maths-
The value of k for which the lines
and
are perpendicular is
The value of k for which the lines
and
are perpendicular is
maths-General
maths-
If the straight lines x=1+s,y=-3-λs,z=1+λs and
, z=2-t, with parameters s and t respectively, are co planar, then λ=
If the straight lines x=1+s,y=-3-λs,z=1+λs and
, z=2-t, with parameters s and t respectively, are co planar, then λ=
maths-General
maths-
If 5 cas 
If 5 cas 
maths-General
physics-
A boy begins to walk eastward along a street infront of his house and the graph of his displacement from home is shown in the following figure. His average speed for in the whole-time interval is equal to

A boy begins to walk eastward along a street infront of his house and the graph of his displacement from home is shown in the following figure. His average speed for in the whole-time interval is equal to

physics-General
maths-
The values of
satisfying
and
are
The values of
satisfying
and
are
maths-General
physics-
A body of mass
is resting on a wedge of angle
as shown in figure. The wedge is given at acceleration
. What is the value of a son that the mass
just falls freely?

The horizontal acceleration
of the wedge should be such that in time the wedge moves the horizontal distance
. The body must fall through a vertical distance
under gravity. Hence,
and 
tan
or 
tan
A body of mass
is resting on a wedge of angle
as shown in figure. The wedge is given at acceleration
. What is the value of a son that the mass
just falls freely?

physics-General
The horizontal acceleration
of the wedge should be such that in time the wedge moves the horizontal distance
. The body must fall through a vertical distance
under gravity. Hence,
and 
tan
or 
tan
physics-
A cyclist starts from the centre
of a circular park of radius one kilometre, reaches the edge
of the park, then cycles along the circumference and returns to the centre along
as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is

Net displacement
and total distance 

Average speed

Average speed
A cyclist starts from the centre
of a circular park of radius one kilometre, reaches the edge
of the park, then cycles along the circumference and returns to the centre along
as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is

physics-General
Net displacement
and total distance 

Average speed

Average speed