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Motion in st. line and plane

Total questions: 20

Worksheet time: 5mins

Name
Class
Date
1.

If the displacement of a body is proportional to square of time then:

a)

The body moves with uniform velocity.

b)

The body moves with uniform acceleration.

c)

The body moves with increasing acceleration.

d)

The body moves with decreasing acceleration.

2.

The displacement-time (s-t) graph of a body is shown in the figure. The accelerated path of the Body is ___________

a)

AB only

b)

CD only

c)

DE only.

d)

AB and DE both

3.

The velocity-time graph of two bodies A and B are shown in : figure , The ratio of their acceleration is:

a)

1 : √3

b)

1 : 3

c)

√3 : 1

d)

√3 : √2

4.

A ball is released from the top of a tower of eight h metres. It takes T seconds to reach the ground. What s the position of the ball in T / 3 seconds ?

a >

a)

h / 9 m from the ground

b)

7h / 9 m from the ground.

c)

8h / 9 m from the ground

d)

17h / 18 m from the ground

5.

The velocity-time graph of a body is shown in figure, the acceleration for points AB , BC and CD are:

a)

2 m/s2 , 1 m/s2 , 2 m/s2

b)

1 m/s2 , 2 m/s2 , 3m/s2

c)

2 m/s2 , 0 m/s2 ,3 m/s2

d)

0.5 m/s2 , infinity m/s2 ,0.33 m/s2

6.

A train takes 1 hour to go from one station to another , it travels at a speed of 20 km/hr for half an hour and 30 km/hr for another half an hour. The average speed of the train is:

a)

25 km /hr

b)

24 km/hr

c)

28 km/hr

d)

23 km/hr

7.

A particle moves along X-axis in such a way that X-coordinate varies with time according to expression x= 2-5t+6t2meters, The initial velocity of the particle is:

a)

-5 m/s

b)

6m/s

c)

-3 m/s

d)

2 m/s

8.

The acceleration of a particle starting from rest varies with time according to the relation a=bt+c , Then the velocity of the particle after time t must be:

a)

2bt2+ct

b)

1/2 bt2+ct

c)

bt2+ct

d)

1/2(bt2+ct)

9.

A police car running with a speed of 120 km/hr chases a truck running ahead with a speed of 110 km/hr , the relative speed of car with truck is:


.

a)

115 km/hr

b)

10 km/hr

c)

330 km/hr

d)

120/110 km/hr

10.

The velocity-time graph of a body is shown in figure , for the interval AD and DC the ratio of distance covered is:

a)

3 : 1

b)

1 : 3

c)

√3 : 1

d)

√3 : 2

11.

A projectile is fired a velocity of 150 meters per second at an angle of 30 degrees with the horizontal. What is the magnitude of the vertical component of the velocity at the time the projectile is fired?

a)

150. m/s

b)

130. m/s

c)

75. m/s

d)

225 m/s

12.

A ball being kicked by a foot and rising at an angle of 30. degrees from the horizontal. The ball has an initial velocity of 5.0 m/s (Neglect friction). What is the magnitude of the horizontal component of the ball's initial velocity?

a)

5.0 m/s

b)

2.5 m/s

c)

8.7 m/s

d)

4.3 m/s

13.

A particle has initial velocity (2j + 3k) and acceleration ( 0.3j + 0.2k) . The magnitude of velocity after 10 seconds will be:

a)

9 √2 units

b)

5 √2 units

c)

5 units

d)

9 units

14.

The horizontal range and the maximum height of a projectile are equal. The angle of projectile is :

a)

Tan-1(1/4)

b)

Tan-1( 4 )

c)

Tan-1( 2 )

d)

450

15.

What is the dot product of two vectors of magnitude 3 and 5 , if the angle between them is 600 ?

a)

5.2

b)

7.5

c)

8.4

d)

8.6

16.

If two numerically equal vectors P and Q acting at a point produce a resultant vector of magnitude P then the angle between the two original vectors is ?

a)

90 0

b)

1200

c)

00

d)

450

17.

An aeroplane is moving with a horizontal velocity V0 at a height h. The velocity of a packet dropped from it on the earth's surface will be:_____________

a)

( V02- 2gh) 1/2

b)

2gh

c)

√(gh)

d)

( V02 + 2gh) 1/2

18.

A missile is fired for maximum range with initial velocity 20 m/s, the range of the missile is : ______ ( take g= 10 m s-2)

a)

40 m

b)

50 m

c)

60 m

d)

20 m

19.

A particle of mass m is projected with a velocity v making an angle 450 with the horizontal. When the particle lands on the ground the magnitude of the change in its momentum will be: ___________

a)

2 mv

b)

mv / √2

c)

mv √2

d)

zero

20.

A ball whose KE is E, is thrown at an angle of 450 with the horizontal. Its KE at the highest point of its flight will be : ______

a)

E

b)

E / 2

c)

E / √2

d)

0