Question 1: Palette 1/44

Allen MCQ

From the image given below, the velocity-time graph of an object is shown. The distance during the interval 0 to $t_4$ is :-

A

Area A + Area B + Area C + Area D + Area E

B

Area A + Area C - Area B - Area D

C

Area A + Area B + Area C + Area D

D

Area A + Area C + Area E - Area B + Area D

Question 2: Palette 2/44

Allen MCQ

From the image given below, the acceleration-time graph of a one dimensional motion is shown. Which of the following characteristics of the particle is represented by the shaded area?

A

change in velocity

B

change in position

C

change in momentum

D

velocity

Question 3: Palette 3/44

Allen MCQ

From the image given below, the displacement of a particle moving along x-axis is shown as a function of time. The velocity of the particle is zero at :-

A

A

B

B

C

C

D

D

Question 4: Palette 4/44

Allen MCQ

From the image given below, the displacement-time graph of a moving particle is shown. The instantaneous velocity of the particle is positive at the point :-

A

D

B

F

C

C

D

E

Question 5: Palette 5/44

Allen MCQ

A person walks along an east-west street and a graph of his displacement from home is shown from the image given below. His average speed for the whole time interval is

A

0

B

23 m/s

C

8 m/s

D

None of these

Question 6: Palette 6/44

Allen MCQ

From the image given below, a particle is moving in a straight line $y=3x$. Its velocity time graph is shown in figure. Its speed is minimum at $t =$ .............

A

2s

B

4s

C

6s

D

8s

Question 7: Palette 7/44

Allen MCQ

From the image given below, the displacement-time graph for two particles A and B are straight lines inclined at angles of $30^{\circ}$ and $60^{\circ}$ with the time axis. The ratio of velocity of particle A & B ($v_A : v_B$) is :-

A

$1 : \sqrt{3}$

B

$1 : 2$

C

$\sqrt{3} : 1$

D

$1 : 3$

Question 8: Palette 8/44

Allen MCQ

From the image given below, which one of the following curves do not represent motion in one dimension :-

A

B

C

D

Question 9: Palette 9/44

Allen MCQ

From the image given below, which of the following displacement-time graphs shows a realistic situation for a body in motion ?

A

B

C

D

Question 10: Palette 10/44

Allen MCQ

From the image given below, which of the following velocity-time graphs represent uniformly accelerated motion ?

A

(1)

B

(2)

C

(3)

D

(4)

Question 11: Palette 11/44

Allen MCQ

From the image given below, the figure shows the position time graph of a particle moving on a straight line path. What is the magnitude of average speed of the particle over 10 seconds ?

A

2 m/s

B

4 m/s

C

6 m/s

D

8 m/s

Question 12: Palette 12/44

Allen MCQ

From the image given below, the velocity time graph of a body is shown. The distance travelled by the body and its displacement during 5 seconds in metres will be :-

A

75, 75

B

110, 40

C

110, 110

D

110, 70

Question 13: Palette 13/44

Allen MCQ

The v-t graph of linear motion of a particle starts its motion from origin as shown in the image given below. The distance of particle from origin after 8 sec is:

A

18 meters

B

16 meters

C

8 meters

D

6 meters

Question 14: Palette 14/44

Allen MCQ

A particle moves according to given velocity-time graph from the image given below. Then the ratio of distance travelled in last 4 seconds and 9 seconds is:

A

$\frac{1}{4}$

B

$\frac{2}{5}$

C

$\frac{1}{8}$

D

$\frac{4}{11}$

Question 15: Palette 15/44

Allen MCQ

The velocity-time graph of a body moving in a straight line is shown in the image given below. The displacement and distance travelled by the body in 6 s are, respectively:

A

16 m, 8 m

B

8 m, 16 m

C

8 m, 8 m

D

16 m, 16 m

Question 16: Palette 16/44

Allen MCQ

The variation of velocity of a particle moving along a straight line is illustrated in the figure from the image given below. The distance traversed by the particle in 3 seconds is:

A

60 m

B

45 m

C

55 m

D

30 m

Question 17: Palette 17/44

Allen MCQ

138. Velocity-time (v-t) graph for a moving object is shown in the figure from the image given below. Total displacement of the object during the time interval when there is zero acceleration is:-

A

60 m

B

50 m

C

30 m

D

40 m

Question 18: Palette 18/44

Allen MCQ

The velocity versus time curve of a moving particle is as shown from the image given below. The maximum acceleration is:

A

$1\text{ m s}^{-2}$

B

$2\text{ m s}^{-2}$

C

$3\text{ m s}^{-2}$

D

$4\text{ m s}^{-2}$

Question 19: Palette 19/44

Allen MCQ

Find the average acceleration of the block from time $t = 2\text{ sec}$ to $t = 4\text{ sec}$ from the image given below.

A

$5\text{ m/s}^2$

B

$10\text{ m/s}^2$

C

$-5\text{ m/s}^2$

D

$-10\text{ m/s}^2$

Question 20: Palette 20/44

Allen MCQ

A particle starts from rest. Its acceleration at time $t = 0$ is $5\text{ m/s}^2$ which varies with time as shown in the image given below. The maximum speed of the particle will be:

A

$7.5\text{ m/s}$

B

$15\text{ m/s}$

C

$20\text{ m/s}$

D

$37.5\text{ m/s}$

Question 21: Palette 21/44

Allen MCQ

A particle starts from rest, its acceleration-time graph is shown from the image given below. Find out velocity at $t = 4\text{ sec}$:

A

$20\text{ m/s}$

B

$30\text{ m/s}$

C

$40\text{ m/s}$

D

None of these

Question 22: Palette 22/44

Allen MCQ

Which of the following options is correct for the object having a straight line motion represented by the graph from the image given below?

A

The object moves with constantly increasing velocity from O to A and then it moves with constant velocity.

B

Velocity of the object increases uniformly

C

Average velocity is zero

D

The graph shown is impossible

Question 23: Palette 23/44

Allen MCQ

144. For the motion of a particle acceleration-time graph is shown in figure from the image given below. The velocity time curve for the duration of 0 - 4 seconds is :

A

B

C

D

Question 24: Palette 24/44

Allen MCQ

Acceleration-time graph of a body initially at rest is shown from the image given below. The corresponding velocity-time graph of the same body is :-

A

B

C

D

Question 25: Palette 25/44

Allen MCQ

146. The given graph shows the variation of velocity with displacement from the image given below. Which one of the graph given below correctly represents the variation of acceleration with displacement :-

A

B

C

D

Question 26: Palette 26/44

Allen MCQ

The x - t graph of a particle moving along a straight line is shown in figure from the image given below. The distance-time graph of the particle is correctly shown by :

A

B

C

D

Question 27: Palette 27/44

Allen MCQ

148. A particle starts from rest and move with constant acceleration. Its velocity-displacement curve is :

A

B

C

D

Question 28: Palette 28/44

Allen MCQ

The graph between the displacement x and time t for a particle moving in a straight line is shown in figure from the image given below. During the interval OA, AB, BC and CD, the acceleration of the particle is :

A

OA: +, AB: 0, BC: +, CD: +

B

OA: -, AB: 0, BC: +, CD: 0

C

OA: +, AB: 0, BC: -, CD: 0

D

OA: -, AB: 0, BC: -, CD: 0

Question 29: Palette 29/44

Allen MCQ

150. Acceleration-time curve for a body projected vertically upwards is a/an :-

A

Parabola

B

Ellipse

C

Hyperbola

D

Straight line

Question 30: Palette 30/44

Allen MCQ

A body is projected vertically upward from the surface of the earth, its displacement-time graph is :

A

B

C

D

Question 31: Palette 31/44

Allen MCQ

A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure from the image given below. Then maximum height attained by the rocket is:

A

1 km

B

10 km

C

100 km

D

60 km

Question 32: Palette 32/44

Allen MCQ

A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure from the image given below. height covered by the rocket before retardation is :

A

1 km

B

10 km

C

20 km

D

60 km

Question 33: Palette 33/44

Allen MCQ

A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure from the image given below.mean velocity of rocket during the time it took to attain the maximum height : :

A

100 m/s

B

50 m/s

C

500 m/s

D

25/3 m/s

Question 34: Palette 34/44

Allen MCQ

A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure from the image given below. the retardation of rocket is :

A

$50\text{ m/s}^2$

B

$100\text{ m/s}^2$

C

$500\text{ m/s}^2$

D

$10\text{ m/s}^2$

Question 35: Palette 35/44

Allen MCQ

A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure from the image given below, the acceleration of rocket is: :

A

$50\text{ m/s}^2$

B

$100\text{ m/s}^2$

C

$10\text{ m/s}^2$

D

$1000\text{ m/s}^2$

Question 36: Palette 36/44

Allen MCQ

A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure from the image given below, the rocket goes up and comes down on the following parts respectively from the image given below:

A

OA and AB

B

AB and BC

C

OA and ABC

D

OAB and BC

Question 37: Palette 37/44

Allen MCQ

A ball is dropped from a certain height on the surface of glass. It collides elastically and comes back to its initial position. If this process is repeated then the velocity time graph is (Take downward direction as positive) from the image given below:

A

B

C

D

Question 38: Palette 38/44

Allen MCQ

A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, The graph according to which its velocity V varies with the height h above the ground is from the image given below:

A

B

C

D

Question 39: Palette 39/44

Allen MCQ

A stone is thrown upwards from top of a tower 60 m high at a speed of 20 m/s. The correct position-time graph for the time interval in which it reaches ground, is ($g = 10\text{ m/s}^2$ & take origin at the base of the tower) from the image given below:

A

B

C

D

Question 40: Palette 40/44

Allen MCQ

A car starts from rest and accelerates uniformly by for 4 seconds and then moves with uniform velocity which of the x-t graph represent the motion of the car ? from the image gven below

A

B

C

D

Question 41: Palette 41/44

Allen MCQ

Figure shows x-t graph of a particle. Find the time t such that the average velocity of the particle during the period 0 to t is zero from the image given below:

A

$6\text{ sec.}$

B

$8\text{ sec.}$

C

$10\text{ sec.}$

D

$12\text{ sec.}$

Question 42: Palette 42/44

Allen MCQ

Graph between the square of the velocity ($v^2$) of a particle and the distance ($s$) moved is shown in figure from the image given below. The acceleration of the particle in kilometers per hour square is:

A

$2250$

B

$3084$

C

$-2250$

D

$-3084$

Question 43: Palette 43/44

Allen MCQ

A train takes 4 min. to go between stations 2.25 km apart starting and finishing at rest. The acceleration is uniform for the first 40 sec and the deceleration is uniform for the last 20 sec. Assuming the velocity to be constant for the remaining time, then maximum speed of the train is :-

A

$75\text{ m/sec}$

B

$18.75\text{ m/sec}$

C

$37.5\text{ m/sec}$

D

$10.7\text{ m/sec}$

Question 44: Palette 44/44

Allen MCQ

A car accelerates from rest at a constant rate of $2\text{ m/s}^2$ for some time. Then, it retards at a constant rate of $4\text{ m/s}^2$ and comes to rest. If it remains in motion for 3 seconds, then the maximum speed attained by the car is :

A

$2\text{ m/s}$

B

$3\text{ m/s}$

C

$4\text{ m/s}$

D

$6\text{ m/s}$