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Question (11)

QN0034771

The dependence of velocity of a body with time is given by the equation . The body is in

(A)
uniform retardation
(B)
uniform acceleration
(C)
non-uniform acceleration
(D)
zero acceleration.

Correct Answer: C

Explanation:

On differentiating, acceleration

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Question (12)

QN0034772

The deceleration experienced by a moving motorboat after its engine is cut off, is given by where is constant. If is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time after the cut-off is

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

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Question (13)

QN0034773

The displacement of a particle as a function of time is shown in figure. It indicates that

(A)
the velocity of the particle is constant throughout
(B)
the acceleration of the particle is constant throughout
(C)
the particle starts with a constant velocity and is accelerated
(D)
the motion is retarded and finally the particle stops

Correct Answer: D

Explanation:

From displacement-time graph, it is clear that in equal intervals of time displacements are not equal infact, decreases and after 40s displacement constant i.e., the particle stops.

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Question (14)

QN0034774

A particle moves along a straight line . At a time (in second) the distance (in metre) of the particle from is given by . How long would the particle travel before coming to rest?

(A)
(B)
.
(C)
(D)

Correct Answer: C

Explanation:

When particle comes to rest,

Therefore distance travelled by particle before coming to rest,

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Question (15)

QN0034775

A particle moves a distance in time according to equation . The acceleration of particle is proportional to

(A)
(velocity)^3/2
(B)
(C)
(distance)
(D)
(velocity)

Correct Answer: A

Explanation:

Now

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Question (16)

QN0034776

A particle is moving eastwards with a velocity of . In 10 seconds the velocity changes to northwards. The average acceleration in this time is

(A)
towards north
(B)
towards north - east
(C)
towards north – west
(D)
zero

Correct Answer: C

Explanation:

Average acceleration

Avg. acc.

which means is in the second quadrant. (towards northwest)

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Question (17)

QN0034777

It is given that , where is displacement and is time. The acceleration of particle at origin is

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

Differentiate two times and put .

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Question (18)

QN0034778

An object, moving with a speed of , is decelerated at a rate given by: where is the instantaneous speed. The time taken by the object, to come to rest, would be

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

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Question (19)

QN0034779

The position of a particle along the -axis at certain times is given below
0
1
2
3
-2
0
6
16
Which of the following describes the motion correctly?

(A)
uniform acceleration
(B)
uniform retardation
(C)
non-uniform acceleration
(D)
there is not enough data for generalization

Correct Answer: A

Explanation:

At

Thus,

and

After solving equations, we get .

Now for ,

.

Clearly it represents motion with constant acceleration.

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Question (11)

The dependence of velocity of a body with time is given by the equation . The body is in

Explanation:

Link:

Question (12)

The deceleration experienced by a moving motorboat after its engine is cut off, is given by where is constant. If is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time after the cut-off is

Explanation:

Link:

Question (13)

The displacement of a particle as a function of time is shown in figure. It indicates that

Explanation:

Link:

Question (14)

A particle moves along a straight line . At a time (in second) the distance (in metre) of the particle from is given by . How long would the particle travel before coming to rest?

Explanation:

Link:

Question (15)

A particle moves a distance in time according to equation . The acceleration of particle is proportional to

Explanation:

Link:

Question (16)

A particle is moving eastwards with a velocity of . In 10 seconds the velocity changes to northwards. The average acceleration in this time is

Explanation:

Link:

Question (17)

It is given that , where is displacement and is time. The acceleration of particle at origin is

Explanation:

Link:

Question (18)

An object, moving with a speed of , is decelerated at a rate given by: where is the instantaneous speed. The time taken by the object, to come to rest, would be

Explanation:

Link:

Question (19)

The position of a particle along the -axis at certain times is given below 0123-20616Which of the following describes the motion correctly?

Explanation:

Link:

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The position of a particle along the -axis at certain times is given below
0
1
2
3
-2
0
6
16
Which of the following describes the motion correctly?