STD-IX, CHAPTER - MOTION, EXTRA MULTIPLE CHOICE QUESTIONS

1.      A device used to measure the distance travelled by a vehicle is:

a)      Speedometer

b)      sonometer

c)      galvanometer

d)      odometer

ANS - Odometer

2.      Speedometer measures:

a)      Speed

b)      Average speed

c)      Instantaneous speed

d)      Instantaneous velocity

ANS – Instantaneous speed

3.      A man travels a distance of 2 m towards east, then 6 m towards south and finally 6 m towards east. Find the resultant displacement:

a)      6 m

b)      9 m

c)      11 m

d)      10 m

ANS – 10 m

4.      If a body moves 6m towards south and then turns towards east and moves 8 m, then find the displacement of the body from the initial position?

a)      12 m

b)      8 m

c)      10 m

d)      6 m

ANS – 10 m

5.      If the distance travelled by an object is zero, then the displacement of the object :

a)      is zero

b)      is not zero

c)      is negative

d)      may or may not be zero

ANS – zero

6.      If the displacement of an object is zero, then the distance travelled by the object:

a)      is zero

b)      is infinite

c)      is negative

d)      may not be zero

ANS – may not be zero

7.      In which of the following cases of motions, the distance moved and the magnitude of displacement are equal?

a)      If the car is moving on a straight road

b)      If the car is moving in circular path

c)      The pendulum is swung to and fro

d)      The earth is revolving around the sun

ANS – If the car is moving on a straight road

8.      The numerical ratio of displacement to distance for a moving object is:

a)      Always less than 1

b)      Always equal to 1

c)      Always more than 1

d)      Equal or less than 1

ANS – Equal or less than 1

9.      A bus travels a distance of 250000 meter from Mumbai to Nagpur in 300 minutes. Find the speed and velocity of the bus for the entire journey.

a)      50 km/h, and 50 km/h

b)      25 km/h and 50 km/h

c)      50 km/h and -150 km/h

d)      250 km/h and 250 km/h

ANS – 50 km/h, 50 km/h

10.  A car travels a distance of 100 km in 2 hours:

a)      Its average speed is 50 km/h

b)      The car did not travel at 50 km/h all the time

c)      The car travelled 50 km/h all the time

d)      All of the above

ANS – Its average speed is 50 km/h

11.  The unit m/s² is of :

a)      velocity

b)      speed

c)      acceleration

d)      distance

ANS – acceleration

12.  Ram reached Rahul’s house walking 10 km in 20 minutes towards south. Displacement will be:

a)      0.5 km in south direction

b)      10 km in south direction

c)      0.5 km in north direction

d)      10 km in north direction

ANS – 10 km in south direction

13.  A particle is moving in a circular path of radius r. The displacement after half a cycle would be:

a)      zero

b)   r

c)      2r

d)   2r

ANS – 2r

14.  The train ‘A’ travelled a distance of 120 km in 1.5 hours whereas another train ‘B’ travelled a distance of 180 km in 4 hours. Then we can say that-

a)      A is faster than B

b)      B is faster than A

c)      Both A and B have same speed

d)      Insufficient data

ANS – A is faster than B

15.  Which of the following could not be a unit of speed?

a)      Km/h

b)      s/m

c)      m/s

d)      mm s^-1

ANS – s/m

16.  The speed of a moving object is determined to be 0.06 m/s. This speed is equal to:

a)      2.16 km/h

b)      1.08 km/h

c)      0.216 km/h

d)      0.0216 km/h

ANS – 0.216 km/h

17.  A boy running at an average speed of 4 km/h reaches school from his home in ½ hour. The distance of the school from his home is:

a)      2 km

b)      8 km

c)      4 km

d)      6 km

ANS – 2 km

18.  On a rainy day, the time interval between lightning and sound of thunder is ‘t’. The distance of nearest point of lightning is:

a)      Speed of light in air is multiplied by ‘t’

b)      Speed of sound in water is multiplied by ‘t’

c)      Speed of sound in air is multiplied by ‘t’

d)      Speed of light in air is divided by ‘t’

ANS – speed of sound in air is multiplied by ‘t’

19.  A bus moving towards its destination travels first 40 km at the uniform speed of 55 km/h and next 20 km at the uniform speed of 50 km/h. Find the total time taken by the bus to reach its destination.

a)      1.2 hours

b)      1.34 hours

c)      1.127 hours

d)      1.565 hours

ANS – 1.127 hours

20.  Which of the following statement is correct regarding velocity and speed of a moving body?

a)      Velocity of a moving body is always higher than its speed

b)      Speed of a moving body is always higher than its velocity

c)      Speed of a moving body is its velocity in a given direction

d)      Velocity of a moving body is its speed in a given direction

ANS – Velocity of a moving body is its speed in a given direction

21.  Velocity of an object can be changed by changing:

a)      The speed of the object

b)      The direction of motion of the object

c)      Both the speed and direction of motion of the object

d)      All the above options are correct

ANS – All the above options are correct

22.  When a car runs on a circular track with a uniform speed, its velocity is said to be changing. This is because :

a)      The car has a uniform acceleration

b)      The direction of car varies continuously

c)      The car travels unequal distances in equal time intervals

d)      The car travels equal distances in unequal time intervals

ANS - The direction of car varies continuously

23.  An object is moving with a velocity of 2 ms^-1. Its velocity changes at a uniform rate to 5 ms^-1. The average velocity of the object is:

a)      3 ms^-1

b)      3.5 ms^-1

c)      4 ms^-1

d)      5.5 ms^-1

ANS – 3.5 ms^-1

24.  A student starts with a velocity 40 km/hr for school at 4 km away from his house. Due to closing of school he returns soon to his house with a velocity of 60 km/hr. His average velocity will be:

a)      zero

b)      10 km/hr

c)      48 km/hr

d)      50 km/hr

ANS - Zero

25.  Which of the following can sometimes be ‘zero’ for a moving body?

a)      Average velocity

b)      Distance travelled

c)      Average speed

d)      Displacement

i) Only (a)         ii) both (a) and (b)         iii) Both (a) and (d)          iv) only (d)

ANS - Both (a) and (d)

26.  One of the following is not a vector quantity. This one is:

a)      displacement

b)      speed

c)      acceleration

d)      velocity

ANS – speed

27.  Find the acceleration of the bus whose speed changes from 35 m/s to 20 m/s in 5 seconds.

a)      +3 m/s²

b)      -3 m/s²

c)      15 m/s²

d)      -25 m/s²

ANS – -3 m/s²

28.  Which of the following could not be a unit of acceleration?

a)      Km/s²

b)      cm s^-2

c)      Km/s

d)      m/s²

ANS – km/s

29.  Which of the quantity distance, speed, velocity or acceleration decides the direction of motion of the body?

a)      speed

b)      velocity

c)      acceleration

d)      distance

ANS – velocity

30.  The incorrect statement about average speed is

a)      Average speed is a scalar quantity

b)      Average speed is always equal to average displacement

c)      Average speed is defined for an interval of time

d)      Average speed = total distance/time interval

ANS – average speed is always equal to average displacement.

31.  A particle covers equal distance in equal intervals of time. It is said to be,

a)      At rest

b)      Moving with uniform speed

c)      Moving with constant acceleration

d)      Moving with uniform velocity

ANS – moving with uniform speed

32.  A particle covers equal distance in equal intervals of time in a particular direction. It is said to be,

a)      At rest

b)      Moving with uniform speed

c)      Moving with constant acceleration

d)      Moving with uniform velocity

ANS – moving with uniform velocity

33.  A body moves in a uniform circular motion,

a)      Its acceleration is zero

b)      It is moving with constant velocity

c)      The body has an acceleration

d)      None of these

ANS – The body has an acceleration (velocity changes but speed remains constant)

34.  If a bus accelerates uniformly from rest to attain a speed of 144 km/h in 20 s, it covers a distance of-

a)      200 m

b)      400 m

c)      600 m

d)      800 m

ANS – 400 m

35.  A train travels at a speed of 50 km/h for 30 minutes, 40 km/h for the next 15 minutes and then 60 km/h for the next 60 minutes. Calculate the average speed of the car.

a)      26.12 km/h

b)      34.59 km/h

c)      43.95 km/h

d)      54.29 km/h

ANS – 54.29 km/h

36.  If a body starts from a point and returns back to the same point, then its,

a)      Average speed is zero, but average velocity is not zero

b)      Both average speed and average velocity is zero

c)      Average speed and velocity depends upon the path

d)      Average velocity is zero, but not the average speed

ANS – Average velocity is zero, but not the average speed

37.  A train passes over a 200 m long bridge in 10 s. The length of the train is 100 m. The speed of the train is:

a)      10 m/s

b)      30 m/s

c)      0.86 m/s

d)      1.42 m/s

ANS – 30 m/s

38.  A 130 m long train is moving in a direction with speed 20 m/s. Another train moving in the same direction with 30 m/s and 120 m long crosses the first train in a time

a)      5 s

b)      36 s

c)      38 s

d)      25 s

ANS – 5 s

39.  A stone is thrown vertically upwards by a boy. It returns to his hands in 3 seconds. How high does the stone rise?

a)      11 m

b)      12 m

c)      3 m

d)      44 m

ANS – 11 m

40.  A body travels 2 m in the first 2 s and 2.2 m in the next 4 s with uniform deceleration. The velocity of the body at the end of 9s is-

a)      -10 m/s

b)      -0.2 m/s

c)      -0.4 m/s

d)      -0.8 m/s

ANS –  -0.20 m/s

41.  Deceleration of a body is expressed in

a)      m

b)      m/s

c)      ms^-2

d)      - ms^-2

ANS – ms^-2

42.  In the equation: s = ut + ½ at², s stands for distance covered in

a)      t seconds

b)      (t-1) seconds

c)      (t+1) seconds

d)      t^th second

ANS – t seconds

43.  A ball is thrown vertically upwards. It rises to a height of 50 m and comes back to the thrower,

a)      The total distance covered by the ball is zero

b)      The net displacement of the ball is zero

c)      The displacement is 100 m

d)      None of the above

ANS – the net displacement of the ball is zero

44.  In 12 minutes a car whose speed is 35 km/h travels a distance of

a)      7 km

b)      3.5 km

c)      14 km

d)      28 km

ANS – 7 km

45.  A 50 m long train passes over a 250 m long bridge at a velocity of 60 km/h. How long will it take to pass completely over the bridge?

a)      18 s

b)      20 s

c)      24 s

d)      None of these

ANS – 18 s

46.  A wooden slab starting from rest, slides down a 10 m long inclined plane with an acceleration of 5 ms^-2. What would be its speed at the bottom of the inclined plane?

a)      10 ms^-1

b)      12 ms^-1

c)      10 cms^-1

d)      12 cms^-1

ANS – 10 ms^-1

47.  A car increases its speed from 20 km/h to 50 km/h in 10 seconds. Its acceleration is

a)      30 m/s²

b)      3 m/s²

c)      18 m/s²

d)      0.83 m/s²

ANS –0.83 m/s²

48.  When a graph of one quantity versus another results in a straight line, the quantities are

a)      Both constant

b)      equal

c)      directly proportional

d)      inversely proportional

ANS – directly proportional

49.  When the distance that an object travels is directly proportional to the length of time, it is said to travel with

a)      Zero velocity

b)      Constant speed

c)      Constant acceleration

d)      Uniform velocity

ANS – constant speed

50.  A particle moves with uniform positive acceleration. Its velocity-time graph will be,

a)      A straight line parallel to the time-axis

b)      A straight line inclined at an obtuse angle to the time-axis

c)      A straight line inclined at an acute angle to the time-axis

d)      None of the above

ANS – a straight line inclined at an acute angle to the time-axis

51.  The slope of velocity-time graph gives

a)      speed

b)      acceleration

c)      displacement

d)      momentum

ANS – acceleration

52.  A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance S₁ in the first 10 seconds and distance S₂ in the next 10 seconds, then

a)      S₂=S₁

b)      S₂ = 2S₁

c)      S₂ = 3S₁

d)      S₂ = 4S₁

ANS – S₂ = 3S₁

53.  In which of the following cases, the object does not possess an acceleration or retardation when it moves in?

a)      Upward direction with decreasing speed

b)      Downward direction with increasing speed

c)      With constant speed along circular path

d)      With constant speed along horizontal direction

ANS – With constant speed along horizontal direction

54.  The velocity of an object is directly proportional to time elapsed. The object has

a)      Uniform speed

b)      Uniform velocity

c)      Uniform acceleration

d)      Variable acceleration

ANS – uniform acceleration

55.  An object moves with a uniform velocity of 9.8 m/s, its acceleration is,

a)      zero

b)      4.9 m/s²

c)      9.8 m/s²

d)      19.6 m/s²

ANS – zero

56.  If the time-displacement graph of a particle is parallel to the time axis, the velocity of the particle is

a)      unity

b)      zero

c)      infinity

d)      none of these

ANS – zero

57.  The distance travelled by a freely falling body is proportional to the

a)      Mass of the body

b)      Square of the time of fall

c)      Square of the acceleration due to gravity

d)      Time of fall

ANS – square of the time of fall

58.  Distance is-

a)      Always positive

b)      Always negative

c)      May be positive or negative

d)      Cannot say

ANS – always positive

59.  S.I. unit of displacement is-

a)      ms^-1

b)      m

c)      km/s

d)      m/s²

ANS – m

60.  A point in a circle of radius r. On completing 4 rounds, distance and displacement of the object are respectively,

a)   2 r, zero

b)   8 r, zero

c)   6 r, zero

d)      zero, zero

ANS – 8 r, zero

61.  The rate of change of displacement is,

a)      speed

b)      velocity

c)      acceleration

d)      retardation

ANS – velocity

62.  When the distance travelled by a body is directly proportional to the time, the body is said to have:

a)      Zero speed

b)      Zero velocity

c)      Uniform acceleration

d)      Uniform speed

ANS – uniform speed

63.  When the distance travelled by a body is directly proportional to the square of the time taken, the motion of the body is:

a)      uniform

b)      uniformly accelerated

c)      zig zag

d)      circular

ANS – uniformly accelerated

64.  A body covers half the distance with a speed of 20 m/s and the other half with a speed of 30 m/s. The average speed of the whole journey is:

a)      25 m/s

b)      zero

c)      24 m/s

d)      2.4 m/s

ANS – 24 m/s

65.  The average velocity of a body is equal to mean of its initial velocity and final velocity. The acceleration of the body is:

a)      variable

b)      zero

c)      negative

d)      uniform

ANS – uniform

66.  The distance-time graph of a body is parallel to time axis. The body is,

a)      At rest

b)      In uniform motion

c)      Variable motion

d)      Cannot say

ANS – at rest

67.  The distance-time graph of a body is a straight line inclined to time axis. The body is in,

a)      Uniform motion

b)      Uniformly accelerated motion

c)      Uniformly retarded motion

d)      Rest position

ANS – uniform motion

68.  The speed-time graph of a body is a straight line parallel to time axis. The body has,

a)      Uniform acceleration

b)      Uniform speed

c)      Variable speed

d)      Variable acceleration

ANS – uniform speed

69.  The velocity-time graph of a body has a negative slope. The body is undergoing,

a)      Uniform acceleration

b)      Uniform retardation

c)      Variable acceleration

d)      Variable retardation

ANS – uniform retardation

70.  Uniform circular motion is,

a)      Uniform motion

b)      Uniformly retarded motion

c)      Uniformly accelerated motion

d)      Cannot say

ANS – uniformly accelerated motion

71.  Which of the following is not a vector?

a)      displacement

b)      velocity

c)      acceleration

d)      speed

ANS – speed

72.  A stone of mass 10 g is being moved in a circle of radius 50 cm with a uniform speed of 1 m/s. The acceleration of the stone is,

a)      zero

b)      2 m/s²

c)      1 m/s²

d)      0.5 m/s²

ANS – 2 m/s²

73.  A car starting from rest accelerates uniformly to acquire a speed 20 km/h in 30 minutes. The distance travelled by car in this time interval will be,

a)      600 km

b)      5 km

c)      6 km

d)      10 km

ANS – 5 km

74.  The velocity-time graph of a body in motion is a straight line inclined to the time axis. The correct statement is,

a)      Velocity is uniform

b)      Acceleration is uniform

c)      Both velocity and acceleration are uniform

d)      Neither velocity nor acceleration is uniform

ANS – acceleration is uniform

75.  For a uniformly retarded motion, the velocity-time graph is,

a)      A curve

b)      A straight line parallel to time axis

c)      A straight line perpendicular to time axis

d)      A straight line inclined to time axis

ANS – a straight line inclined to time axis

76.  For uniform motion,

a)      The distance-time graph is a straight line parallel to time axis

b)      The speed-time graph is a straight line inclined to time axis

c)      The speed-time graph is a straight line parallel to time axis

d)      The acceleration-time graph is a straight line parallel to time axis.

ANS – the speed-time graph is a straight line parallel to time axis

77.  A body when projected up with an initial velocity u goes to a height h in time t and then comes back at the point of projection. The correct statement is,

a)      The average velocity is 2h/t

b)      The acceleration is zero

c)      The final velocity on reaching the point of projection is 2u

d)      The displacement is zero

ANS – the displacement is zero

78.  A body moving on a circular path has:

a)      Constant speed

b)      Constant direction

c)      Constant velocity

d)      Constant displacement

ANS – constant speed

79.  In the equation of motion, z = xt + yt², the units of x and y are _____ and _____.

a)      m/s, m

b)      m, m/s²

c)      m/s, m/s²

d)      m/s², m/s

ANS – m, m/s²

80.  The average speed of a moving object is equal to the magnitude of its average velocity when it travels,

a)      In a straight line in the same direction

b)      In a zigzag path

c)      On a semicircular path

d)      Back and forth along the same path

ANS – in a straight line in the same direction

81.  A ball strikes the floor vertically downwards with a speed of 10 m/s and rebounds with the same speed. The magnitude of its change in velocity will be,

a)      10 m/s

b)      5 m/s

c)      0 m/s

d)      20 m/s

ANS – 20 m/s

82.  If a body starts from rest and moves with uniform acceleration, then

a)      v is directly proportional to time

b)      distance is directly proportional to time

c)      velocity is directly proportional to distance

d)      distance is directly proportional to the square root of time

ANS – v is directly proportional to time

83.  A person travels along a straight road for the first half-time with a velocity v₁ and the second half-time with a velocity v₂. The mean velocity is given by,

a)      (v₁ + v₂)/2

b)      v₁v₂/2

c)      v₁v₂/ (v₁ + v₂)

d)      2v₁v₂/(v₁ + v₂)

ANS – v₁v₂/ (v₁ + v₂)

84.  When a particle moves with uniform velocity

a)      The particle must be at rest

b)      The particle moves along a curved path

c)      The particle moves along a circle

d)      The particle moves along a straight line.

ANS – the particle moves along a straight line

85.  When a body moves along a semicircle, the total angle subtended by it at the centre of the circle is:

a)      π/2

b)      2π

c)      π

d)      none of these

ANS – π

86.  A boy standing at point A throws a stone that travels along a parabolic path (making a semi-circle) up to B. At the highest point of its path, the stone has _____.

a)      No acceleration

b)      Acceleration in the upward direction

c)      Acceleration in the downward direction

d)      Acceleration in a horizontal direction

ANS – acceleration in the downward direction

87.  A girl swims in a swimming pool of length 100 m. She swims from one end to another end and reaches the starting point again in 2 minutes. The average velocity of the swimmer is ______.

a)      100 m/s

b)      0.83 m/s

c)      1.67 m/s

d)      0 m/s

ANS – 0 m/s

88.  The speed of a body is 1 m/s. The angle between the distance-time graph of the body and the time is _____.

a)      0⁰

b)      30⁰

c)      45⁰

d)      60⁰

ANS – 45⁰

89.  The state of motion is described by the _____.

a)      Position of rest

b)      Position of motion

c)      Both by the state of rest and motion

d)      None of these

ANS – Both by the state of rest and motion

90.  Ram jogs from one end (X) to the other end (Y) of a straight road that is 300 m long in 2 minutes and 30 seconds. He then turns around and jogs 100 m back to point Z in 1 minute.

What is Ram’s average speed and average velocity while jogging from X to Y respectively?

a)      1 m/s, 1 m/s

b)      3 m/s, 2 m/s

c)      2 m/s, 2 m/s

d)      4 m/s, 1 m/s

ANS – 2 m/s, 2 m/s

91.  Ram jogs from one end (X) to the other end (Y) of a straight road that is 300 m long in 2 minutes and 30 seconds. He then turns around and jogs 100 m back to point Z in 1 minute.

What is Ram’s average speed and average velocity while jogging from X to Z, respectively?

a)      2 m/s, 1.9 m/s

b)      5.1 m/s, 9.1 m/s

c)      1 m/s, 1 m/s

d)      1.9 m/s, 0.9 m/s

ANS – 1.9 m/s, 0.9 m/s

92.  180⁰ plane angle is equal to

a)      π radian

b)      π/2 radian

c)      2π radian

d)      None

ANS – π radian

93.  A stone is attached to a string 2m long and whirled round in horizontal circle. It completes one rotation in one second. The angular velocity and linear speed of the stone is,

a)      3.14 rad s^-1, 6.29 ms^-1

b)      6.29 rad s^-1, 6.29 ms^-1

c)      6.29 rad s^-1, 12.58 ms^-1

d)      12.58 rad s^-1, 6.29 ms^-1

ANS – 6.29 rad s^-1, 12.58 ms^-1

94.  If a body covers three consecutive equal distances with speeds V₁, V₂ and V₃ then the average of speed of the body is,

a)     

b)       +

c)     

d)     

ANS –

95.  A body travels 2 m in the first 2s and 2.2 m in the next 4 s with uniform deceleration. The velocity of the body at the end of 9 s is,

a)      – 10 ms^-1

b)      – 0.2 ms^-1

c)      – 0.4 ms^-1

d)      – 0.8 ms^-1

ANS – -0.2 ms^-1

96.  A particle moves with constant acceleration. If V₁, V₂ and V₃ are the average velocities in the three successive intervals t₁, t₂ and t₃ of time, then the correct relation is,

a)       =

b)       =

c)       =

d)       =

ANS –  =

97.  A body starts from a point O with velocity v and uniform acceleration a. The direction of acceleration is reversed when the velocity of the body becomes 5v. The velocity of the body at point O will be,

a)      – v

b)      – 5v

c)      – 7v

d)      – 9v  

ANS –   -7v

98.      Which of the following is a false statement?

a)      A body can have zero velocity and still be accelerated

b)      A body can have a constant velocity and still have a varying speed.

c)      A body can have a constant speed and still have a varying velocity

d)      The direction of the velocity of a body can change when its acceleration is constant.

ANS – A body can have a constant velocity and still have a varying speed

99.      The minimum distance to stop a car is x when it is moving with a velocity v, then what will be the minimum distance to stop it in the same time when it will move with a velocity mv.

a)      m²x

b)      mx

c)      x/m²

d)      x/m

ANS – mx

100.  If a body moving with an initial velocity of 3 m/s and an acceleration of 2m/s². Then what will be the distance travelled by the body in 4^th second.

a)      6 m

b)      7 m

c)      10 m

d)      28 m

ANS – 10 m

101.  If a ball is thrown up with a velocity v from the top of a building the ball reaches the ground with a velocity 3u. Find the height of the building.

a)      9u²/g

b)      6u²/g

c)      4u²/g

d)      3u²/g

ANS – 4u²/g

102.  A particle moves from A to B with a uniform velocity V_1­ and from B to A with a velocity V₂. If it moves along a straight line between A and B, then the average velocity of the particle is,

a)      V₁V₂ / 2

b)      (V₁ + V₂) / 2

c)      2V₁V₂ / (V­₁ + V₂)

d)      zero

ANS – zero

103.  When a ball is released from a top of building the distance covered by it in 4 sec will be,

a)      20 m

b)      40 m

c)      80 m

d)      None

ANS – 80 m

104.  The ratio of the height from which two bodies are dropped is 3:7 respectively. The ratio of their final velocities is,

a)      7:3

b)      9:49

c)      √3 : √7

d)      √7 : √3

ANS – √3 : √7

105.  The velocity of a particle at an instant is 10 m/s. After 5s, the velocity of the particle is 20 m/s. The velocity at 3s before the instant when the velocity of the particle was 10 m/s is,

a)      8 m/s

b)      6 m/s

c)      4 m/s

d)      7 m/s

ANS – 4 m/s

106.  A car starts from rest and moves with a uniform acceleration for 2s. After that it starts to move with a uniform deceleration of 4 m/s². The acceleration of the body if it takes 3s for the car to stop is,

a)      4 m/s²

b)      6 m/s²

c)      12 m/s²

d)      None

ANS – 6 m/s²

107.  A stone when thrown with a velocity of 5 m/s attains a maximum height of H₁ and when thrown with a velocity of 10 m/s attains a maximum height of H₂. Find the correct relation between H₁ and H_2.

a)      H₁ = H₂

b)      H₁ = H₂/3

c)      H₁ = 2H₁

d)      H₁ = H₂/4

ANS – H₁ = H₂/4

108.  An ant moves along a circular track of 6 m radius such that the arc of the circular track subtends an angle of 30⁰ at the centre. The distance covered by the ant is,

a)      π

b)      13 π

c)      6 π

d)      4 π

ANS –

109.  A ball is dropped from a balloon which is rising up with a speed of 2 m/s. After 2s the velocity of the packet is,

a)      20 m/s

b)      18 m/s

c)      22 m/s

d)      none

ANS – 18 m/s

110.  If a car travels 30 m and 26 m in its 7^th and 6^th second of its travel respectively, then the initial velocity and acceleration of the body is,

a)      4 m/s, 4 m/s²

b)      6 m/s, 4 m/s²

c)      0 m/s, 4 m/s²

d)      10 m/s, 8 m/s²

ANS – 4 m/s, 4 m/s²

111.   If a ball is thrown upward with a velocity of 6 m/s. The maximum height attained by the particle is,

a)      1.8 m

b)      3.6 m

c)      5.4 m

d)      none

ANS – 1.8 m

112.  If a body is thrown in air with an angle with horizontal. Then the path followed by the body will be,

a)      linear

b)      elliptical

c)      parabolic

d)      none

ANS – parabolic

113.  A ball is thrown vertically upwards in air. When the particle is at a height half of its maximum height its speed is 10 m/s. Then the maximum height attained by the particle is,

a)      20 m

b)      15 m

c)      10 m

d)      8 m

ANS – 10 m

114.  A ball is dropped from a certain height to fall under gravity. After 1 sec another ball is dropped from the same point. What is the distance between them after 3 s from the dropping of second ball?

a)      35 m

b)      25 m

c)      50 m

d)      none

ANS – 35 m

115.  The ratio of maximum height reached by two bodies projected vertically upward with speed ratio x, y is,

a)      x² : y²

b)      x : y

c)      √x : √y

d)      none

ANS – x² : y²

116.  Two trains 1000 m long are moving parallel to each other at a speed of 100 m/s and 150 m/s respectively. After what time they pass each other?

a)      4 s

b)      20 s

c)      8 s

d)      40 s

ANS – 8 s

117.  A car travels the first 1/3^rd distance at a speed of 30 km/h, the next 1/3^rd distance at a speed of 20 km/h and the last 1/3^rd distance at a speed of 10 km/h. The average speed of the car is,

a)      30 m/s

b)       m/s

c)  

d)      none

ANS –  m/s

118.  A bus starts moving with an acceleration 2 m/s². A cyclist 96 m behind the bus starts simultaneously in the direction of the bus at a speed of 20 m/s. After what time the cyclist will overtake the bus?

a)      16 s

b)      8 s

c)      12 s

d)      4 s

ANS – 12 s

119.  The velocity of car changes from 40 m/s to 10 m/s in 10 s. The acceleration produced in it is,

a)      3 m/s²

b)      – 3 m/s²

c)      5 m/s²

d)      – 5 m/s²

ANS –  –3 m/s²

120.  Speed of two identical cars are u and 4u at the instant. The ratio of the respective distances in which the two cars are stopped from the instant is,

a)      1:1

b)      1:8

c)      1:4

d)      1:16

ANS – 1:16

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

a)      h/9 metres from the ground

b)      7h/9 metres from the ground

c)      8h/9 metres from the ground

d)      17h/18 metres from the ground

ANS – 8h/9 metres from the ground

122.  A car is standing 100 m behind a bus. The bus and the car both start moving simultaneously with acceleration of 4 m/s² and 2 m/s² respectively. Find the time after which the car will be able to catch the bus.

a)      10 s

b)      20 s

c)      15 s

d)      none

ANS – 10 s