Physics-
General
Easy
Question
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement





The correct answer is: 
Given line have positive intercept but negative slope. So its equation can be written as
(i) [where
]
By differentiating with respect to time we get

Now substituting the value of
from eq. (i) we get

the graph between
and
should have positive slope but negative intercept on
-axis. So graph [a] is correct
Related Questions to study
physics-
The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is
The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is
physics-General
physics-
A ball is thrown vertically upward. Ignoring the air resistance, which one of the following plot represents the velocity-time plot for the period ball remains in air?
A ball is thrown vertically upward. Ignoring the air resistance, which one of the following plot represents the velocity-time plot for the period ball remains in air?
physics-General
physics-
The velocity of a particle moving in a straight line varies with time in such a manner that
graph is velocity is
and the total time of motion is 

i) Average velocity of the particle is 
ii) such motion cannot be realized in practical terms
The velocity of a particle moving in a straight line varies with time in such a manner that
graph is velocity is
and the total time of motion is 

i) Average velocity of the particle is 
ii) such motion cannot be realized in practical terms
physics-General
physics-
Figure given shows the distance –time graph of the motion of a car. It follows from the graph that the car is

Figure given shows the distance –time graph of the motion of a car. It follows from the graph that the car is

physics-General
physics-
The displacement-time graphs of two moving particles make angles of
and
with the
-axis. The ratio of the two velocities is
The displacement-time graphs of two moving particles make angles of
and
with the
-axis. The ratio of the two velocities is
physics-General
physics-
An elevator is going up. The variation in the velocity of the elevator is as given in the graph. What is the height to which the elevator takes the passengers?

An elevator is going up. The variation in the velocity of the elevator is as given in the graph. What is the height to which the elevator takes the passengers?

physics-General
physics-
The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is

The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is

physics-General
physics-
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is

The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is

physics-General
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 
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
physics-
A frictionless wire
is fixed on a sphere of radius
. A very small spherical ball slips on this wire. The time taken by this ball to slip from
to
is

A frictionless wire
is fixed on a sphere of radius
. A very small spherical ball slips on this wire. The time taken by this ball to slip from
to
is

physics-General
physics-
In figure, one car at rest and velocity of the light from head light is
, then velocity of light from head light for the moving car at velocity
, would be
In figure, one car at rest and velocity of the light from head light is
, then velocity of light from head light for the moving car at velocity
, would be
physics-General
physics-
A body starts from rest and moves with uniform acceleration. Which of the following graphs represent its motion
A body starts from rest and moves with uniform acceleration. Which of the following graphs represent its motion
physics-General
physics-
If the velocity
of a particle moving along a straight line decreases linearly with its displacement
from 20
to a value approaching zero
m, then acceleration of the particle at
m is

If the velocity
of a particle moving along a straight line decreases linearly with its displacement
from 20
to a value approaching zero
m, then acceleration of the particle at
m is

physics-General
physics-
The graph of displacement
time is Its corresponding velocity-time graph will be

The graph of displacement
time is Its corresponding velocity-time graph will be

physics-General
physics-
The displacement-time graph of moving particle is shown below The instantaneous velocity of the particle is negative at the point

The displacement-time graph of moving particle is shown below The instantaneous velocity of the particle is negative at the point

physics-General