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NEET Motion in Two Dimensions PYQs with Solutions

227 previous year questions from Motion in Two Dimensions (NEET UG Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

227 questionsPhysics2001–2024Answers + solutions

About Motion in Two Dimensions PYQs

Motion in Two Dimensions has 227 previous year questions in the Quantrex Academy NEET UG Physics bank. The 220 questions in this list come from NEET (177), AIIMS (24) and JIPMER (19), spanning 2001 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2024: 2
  • 2023: 4
  • 2022: 2
  • 2021: 1
  • 2020: 2
  • 2019: 19
  • 2018: 8
  • 2017: 6
  • 2016: 4
  • 2015: 11
  • 2014: 3
  • 2013: 7

Motion in Two Dimensions questions with solutions

1

A particle moving with uniform speed in a circular path maintains:

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2

A bob is whirled in a horizontal plane by means of a string with an initial speed of ω rpm. The tension in the string is T . If speed becomes 2 ω while keeping the same radius

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3

A particle is executing uniform circular motion with velocity v and acceleration a . Which of the following is true?

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4

A ball is projected from point A with velocity 20 ~m ~s^ -1 at an angle 60^ ∘ to the horizontal direction. At the highest point B of the path (as shown in figure), the velocity v

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5

A bullet is fired from a gun at the speed of 280m s ^ - 1 in the direction 30 ° above the horizontal. The maximum height attained by the bullet is ( g = 9 . 8m s ^ - 2 , sin30 ° =

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6

A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m^2 about an axis passing through its centre. Starting from rest, its angular velocity after 3 ~s is

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7

A ball is projected with a velocity, 10 ms ^ - 1 , at an angle of 60 ° with the vertical direction. Its speed at the highest point of its trajectory will be

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8

A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ ∘ above the horizontal. The maximum height attained by the ball during its motion is (g=10 ~m /

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9

A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were projected with the same speed at an angle θ to the

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10

A ball is thrown vertically downward with a velocity of 20m s ^ - 1 from the top of a tower. It hits the ground after some time with a velocity of 80m s ^ - 1 . The height of the

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11

A person sitting in the ground floor of a building notices through the window, of height 1 . 5m, a ball dropped from the roof of the building crosses the window in 0 . 1s . What

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12

A particle is moving with a constant speed v in a circle. What is the magnitude of average velocity after half rotation?

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13

A projectile has a maximum range of 16 ~km . At the highest point of its motion, it explodes into two equal masses. One mass drops vertically downwards. The horizontal distance

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14

A disc of radius 2 ~m is rotating with angular is to be put on the disc. Friction coefficient between disc and block is μ_ K =0.3 , then find the maximum distance from axis where

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15

A projectile of mass 1 kg is projected with a speed of 10 ~m / s at an angle of 60^ ∘ from the horizontal when projectile is at its highest point, its magnitude of angular

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16

A particle is projected at an angle of 30^ ∘ from the horizontal with a speed of 10 ~m / s on the earth. It's time of flight, range, velocity of impact are respectively T, R, V .

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17

If object starts from rest and covers angle of 60 rad in 10 sec in circular motion magnitude of angular acceleration will be

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18

If three objects are thrown with velocity (2 g H)/(3) , 2 gH , (g H)/(3) , then find the ratio of their maximum heights.

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19

Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 ~m apart and of same height of 200 ~m with the same velocity of 25 ~m

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20

The speed of a swimmer in still water is 20m s ^ - 1 . The speed of river water is 10m s ^ - 1 and is flowing due east. If he is standing on the south bank and wishes to cross the

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21

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60 ° with horizontal, it can travel a distance x _ 1 along the plane. But, when the

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22

Two particles A and B are moving in uniform circular motion in concentric circles of radii r _ A and r _ B with speed v _ A and v _ B , respectively. Their time period of rotation

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23

A particle starting from rest, moves in a circle of radius ' r '. It attains a velocity of v_0 m / s in the n^ th round. Its angular acceleration will be

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24

A disc of radius 2 ~m is rotating with angular is to be put on the disc. Friction coefficient between disc and block is μ_ K =0.3 , then find the maximum distance from axis where

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25

A projectile has a maximum range of 16 ~km . At the highest point of its motion, it explodes into two equal masses. One mass drops vertically downwards. The horizontal distance

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26

A particle is moving with a constant speed v in a circle. What is the magnitude of average velocity after half rotation?

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27

If three objects are thrown with velocity (2 g H)/(3) , 2 gH , (g H)/(3) , then find the ratio of their maximum heights.

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28

If object starts from rest and covers angle of 60 rad in 10 sec in circular motion magnitude of angular acceleration will be

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29

A projectile of mass 1 kg is projected with a speed of 10 ~m / s at an angle of 60^ ∘ from the horizontal when projectile is at its highest point, its magnitude of angular

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30

A particle is projected at an angle of 30^ ∘ from the horizontal with a speed of 10 ~m / s on the earth. It's time of flight, range, velocity of impact are respectively T, R, V .

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31

Assertion : For angular projection, when angle of projection θ= ^ -1 (1) , the horizontal range is four times the maximum height. Reason : The horizontal range of projectile is

AIIMS 2018 Solution
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32

A particle is projected from the ground with an initial speed of v at an angle θ with horizontal. The average velocity of the particle between its point of projection and highest

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33

Assertion : For a projectile the time of flight of a body becomes n times the original value if its speed is made n times. Reason : This is due to the range of the projectile

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34

What is the range of a projectile thrown with velocity 98 ~m / s with angle 30^ ∘ from horizontal ?

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35

Assertion : For a projectile the time of flight of a body becomes n times the original value if its speed is made n times. Reason : This is due to the range of the projectile

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36

Assertion : For angular projection, when angle of projection θ= ^ -1 (1) , the horizontal range is four times the maximum height. Reason : The horizontal range of projectile is

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37

A particle is projected from the ground with an initial speed of v at an angle θ with horizontal. The average velocity of the particle between its point of projection and highest

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38

What is the range of a projectile thrown with velocity 98 ~m / s with angle 30^ ∘ from horizontal ?

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39

A projectile is given an initial velocity of i +2 j . The cartesian equation of its path is (Take g=10 ~m ~s^ -2 )

AIIMS 2017 Solution
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40

A wheel starts rotating from rest at time t=0 with a angular acceleration of 50 radians / s^2 . The angular acceleration (α) decreases to zero value after 5 seconds. During this

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41

The x and y coordinates of a particle moving in a plane are given by x(t)=a (p t) and y(t)=b (p t) where a, b( a) and p are positive constants of appropriate dimensions and t is

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42

A wheel starts rotating from rest at time t=0 with a angular acceleration of 50 radians / s^2 . The angular acceleration (α) decreases to zero value after 5 seconds. During this

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43

A projectile is given an initial velocity of i +2 j . The cartesian equation of its path is (Take g=10 ~m ~s^ -2 )

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44

The x and y coordinates of a particle moving in a plane are given by x(t)=a (p t) and y(t)=b (p t) where a, b( a) and p are positive constants of appropriate dimensions and t is

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45

A stone projected with a velocity u at an angle θ with the horizontal reaches maximum height H_1 . When it is projected with velocity u at an angle ((π)/(2)-θ) with the

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46

A body is whirled in a horizontal circle of radius 25 cm . It has an angular velocity of 13 rad / s . What is its linear velocity at any point on circular path?

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47

A stone projected with a velocity u at an angle θ with the horizontal reaches maximum height H_1 . When it is projected with velocity u at an angle ((π)/(2)-θ) with the

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48

A body is whirled in a horizontal circle of radius 25 cm . It has an angular velocity of 13 rad / s . What is its linear velocity at any point on circular path?

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49

A string 0.5 ~m long is used to whirl a 1 ~kg stone in a vertical circle at a uniform velocity of 5 ~m ~s^ -1 . What is the tension in the string when the stone is at the top of

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50

The radii of circular paths of two particles of same mass are in ratio 6: 8 then what will be velocities ratio if they have a constant centripetal force?

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51

What is the radius of curvature of the parabola traced out by the projectile in the previous problem at a point where the particle velocity makes an angle (θ)/(2) with the

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52

One end of a massless spring of constant 100 ~N / m and natural length 0.5 m is fixed and the other end is connected to a particle of mass 0.5 kg lying on a frictionless

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53

A projectile is fired with a velocity u at angle θ with the ground surface. During the motion at any time it is making an angle α with the ground surface. The speed of particle at

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54

Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in radius (r)/(2) and the lighter one in radius r . The tangential speed of lighter stone is n

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55

The radii of circular paths of two particles of same mass are in ratio 6: 8 then what will be velocities ratio if they have a constant centripetal force?

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56

A string 0.5 ~m long is used to whirl a 1 ~kg stone in a vertical circle at a uniform velocity of 5 ~m ~s^ -1 . What is the tension in the string when the stone is at the top of

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57

A projectile is fired with a velocity u at angle θ with the ground surface. During the motion at any time it is making an angle α with the ground surface. The speed of particle at

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58

One end of a massless spring of constant 100 ~N / m and natural length 0.5 m is fixed and the other end is connected to a particle of mass 0.5 kg lying on a frictionless

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59

What is the radius of curvature of the parabola traced out by the projectile in the previous problem at a point where the particle velocity makes an angle (θ)/(2) with the

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60

An arrow is projected into air. Its time of flight is 5 ~s and range 200 ~m . What is the maximum height reached by it? (Take g=10 ~m ~s^ -2 )

AIIMS 2014 Solution
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61

A projectile is fired from the surface of the earth with a velocity of 5m s ^ - 1 and angle θ with the horizontal. Another projectile fired from another planet with a velocity of

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62

An arrow is projected into air. Its time of flight is 5 ~s and range 200 ~m . What is the maximum height reached by it? (Take g=10 ~m ~s^ -2 )

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63

A particle is projected from the ground with an initial speed of ' v ' at angle θ with horizontal. The average velocity of the particle between its point of projection and height

AIIMS 2013 Solution
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64

A ball of mass m is tied up with string and rotated along a horizontal circle of radius r . At an instant, its velocity is v , and tension in string is T , the force required for

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65

A body is thrown with a velocity of 9.8 ~m / s making an angle of 30^ ∘ with the horizontal. It will hit the ground after a time

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66

The velocity of a projectile at the initial point A is (2 i+3 j) m / s . Its velocity (in m / s ) at point B is

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67

A ball of mass m is tied up with string and rotated along a horizontal circle of radius r . At an instant, its velocity is v , and tension in string is T , the force required for

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68

A particle is projected from the ground with an initial speed of ' v ' at angle θ with horizontal. The average velocity of the particle between its point of projection and height

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69

A body is thrown with a velocity of 9.8 ~m / s making an angle of 30^ ∘ with the horizontal. It will hit the ground after a time

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70

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

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71

Given, ω =2 k and r =2 i +2 j . Find the linear velocity.

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72

Velocity-time curve for a body projected vertically upwards is

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73

A particle moves in a circle of radius 5 ~cm with constant speed and time period 0.2 π s . The acceleration of the particle is

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74

A missile is fired for maximum range with a initial velocity of 20 ~m / s . If g=10 ~m / s^2 , the range of the missile is

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75

A projectile is fired at an angle of 45^ ∘ with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is

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76

Given, ω =2 k and r =2 i +2 j . Find the linear velocity.

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77

Assertion : In javelin throw, the athlete throws the projectile at an angle slightly more than 45^ ∘ . Reason : The maximum range does not depend upon angle of projection.

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78

Two projectiles of same mass have their maximum kinetic energies in ratio 4: 1 and ratio of their maximum heights is also 4: 1 then what is the ratio of their ranges ?

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79

A particle has initial velocity (3 i +4 j ) and has acceleration (0.1 i +0.3 j ) . Its speed after 10 ~s is

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80

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

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81

Assertion : In javelin throw, the athlete throws the projectile at an angle slightly more than 45^ ∘ . Reason : The maximum range does not depend upon angle of projection.

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82

Two projectiles of same mass have their maximum kinetic energies in ratio 4: 1 and ratio of their maximum heights is also 4: 1 then what is the ratio of their ranges ?

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83

A particle of mass \(m\) moves with constant speed along a circular path of radius \(r\) under the action of force \(F\). Its speed is

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84

Assertion : When the velocity of projection of a body is made \(n\) times, its time of flight becomes \(n\) times. Reason : Range of projectile does not depend on the initial

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85

A projectile is thrown in the upward direction making an angle of 60^ ∘ with the horizontal direction with a velocity of 147 ~ms^ -1 . Then the time after which its inclination

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86

A particle of mass \(m\) moves with constant speed along a circular path of radius \(r\) under the action of force \(F\). Its speed is

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87

Assertion : When the velocity of projection of a body is made \(n\) times, its time of flight becomes \(n\) times. Reason : Range of projectile does not depend on the initial

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88

The direction of the angular velocity vector is along

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89

A ball is thrown vertically upward. It has a speed of 10 ~m / s when it has reached one-half of its maximum height. How high does the ball rise? (Take, g=10 ~m / s^2 )

JIPMER 2007 Solution
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90

A wheel has angular acceleration of 3.0 rad / sec^2 and an initial angular speed of 2~ rad/ sec . In a time of 2 sec it has rotated through an angle (in radian) of:

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91

The direction of the angular velocity vector is along

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92

A river is flowing from west to east with a speed of 5 ~m / min . A man can swim in still water with a velocity 10 ~m / min . In which direction should the man swim so, as to take

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93

A car runs at a constant speed on a circular track of radius 100 ~m , taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap

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94

For angles of projection of projectile at angle (45^ ∘ -θ) and (45^ ∘ +θ) , the horizontal range described by the projectile are in the ratio of:

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95

The maximum range of a gun on horizontal terrain is 16 km , if g=10 ~m / s^2 . What must be the muzzle velocity of the shell?

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96

A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 seconds, what is the magnitude and

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97

Two boys are standing at the ends A and B of a ground where AB=a . The boy at B starts running in a direction perpendicular to AB with velocity v_1 . The boy at A starts running

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98

The circular motion of a particle with constant speed is:

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99

The direction of the angular velocity vector is along

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100

The earth of mass =6 × 10^ 24 ~kg revolves around the sun with an angular velocity of 2 × 10^ -7 rad / s in a circular orbit of radius 1.5 × 10^8 ~km . The force exerted by the

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101

A stone is thrown with an initial speed of 4.9 ~m / s from a bridge in vertically upward direction. It falls down in water after 2 sec . The height of bridge is

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102

The direction of the angular velocity vector is along

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103

A particle moves along a circle ((20)/(π)) m with constant tangential acceleration. If the velocity of the particle is 80 ~m / s at the end of the second revolution after after

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104

At the uppermost point of a projectile, its velocity and acceleration are at an angle of

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105

A particle (a) is dropped from a height and another particle (b) is projected in the horizontal direction with a speed of 5 ~ms^ -1 from the same height, then the correct

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106

At the uppermost point of a projectile, its velocity and acceleration are at an angle of

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107

A particle is revolving in a circle of radius R . If the force acting on it is inversely proportional to R , then the time period is proportional to

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108

Assertion : Centripetal force does no work. Reason : Force and displacement are perpendicular to each other.

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109

Assertion : Work done in uniform circular motion is zero. Reason : Force is always directed along displacement.

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110

A particle is revolving in a circle of radius R . If the force acting on it is inversely proportional to R , then the time period is proportional to

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111

Assertion : Work done in uniform circular motion is zero. Reason : Force is always directed along displacement.

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112

Assertion : Centripetal force does no work. Reason : Force and displacement are perpendicular to each other.

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113

A particle is projected up from a point at an angle θ with the horizontal direction. At any time t , if p is the linear momentum, y is the vertical displacement, x is horizontal

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114

Two trains, which are moving along different tracks in opposite directions towards each other, are put on the same track due to a mistake. Their drivers, on noticing the mistake

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115

A ball is thrown horizontally from a height with a certain initial velocity at time t=0 . The ball bounces repeatedly from the ground with the coefficient of restitution less than

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116

Three vectors → P , → Q and → R are shown in the figure. Let, S be any point on the vector → R . The distance between the points P and S is b| → R | . The general relation among

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117

Two balls A and B are projected from the same position with horizontal velocity 20m s ^ - 1 and 5m s ^ - 1 as shown. The separation between these two bodies at the moment their

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118

A particle is projected up from a point at an angle θ with the horizontal direction. At any time t , if p is the linear momentum, y is the vertical displacement, x is horizontal

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119

In case of projectile motion, which one of the following figures represent variation of horizontal component of velocity (u_ x ) with time t ? (assume that air resistance is

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120

Assertion (A) The velocity of a projectile at a point on its trajectory is equal to the slope at that point. Reason (R) The velocity vector at a point always along the tangent to

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